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Finding the Fourth Proportional to 12,311.32, 18,466.98 and 9,834.54

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Solution

The fourth proportional to 12,311.32, 18,466.98 and 9,834.54 is: 14,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.32 : 18,466.98 = 9,834.54 : x
  2. Step 2: Convert to fraction form
    12,311.32/18,466.98 = 9,834.54/x
  3. Step 3: Cross multiply
    12,311.32x = 18,466.98 × 9,834.54
  4. Step 4: Simplify right side
    12,311.32x = 181,614,250.48
  5. Step 5: Solve for x
    x = 181,614,250.48/12,311.32
  6. Step 6: Final answer
    x = 14,751.81

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.