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Finding the Fourth Proportional to 12,000.38, 16,541.66 and 8,217.00

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Solution

The fourth proportional to 12,000.38, 16,541.66 and 8,217.00 is: 11,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.38 : 16,541.66 = 8,217.00 : x
  2. Step 2: Convert to fraction form
    12,000.38/16,541.66 = 8,217.00/x
  3. Step 3: Cross multiply
    12,000.38x = 16,541.66 × 8,217.00
  4. Step 4: Simplify right side
    12,000.38x = 135,922,737.51
  5. Step 5: Solve for x
    x = 135,922,737.51/12,000.38
  6. Step 6: Final answer
    x = 11,326.54

Related Problems

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Half scale
Find fourth proportional to 24,000.75, 33,083.32 and 16,433.99
Double scale
Find fourth proportional to 12,001.38, 16,543.04 and 8,218
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.