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Finding the Fourth Proportional to 16,478.96, 22,741.02 and 8,925.30

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Solution

The fourth proportional to 16,478.96, 22,741.02 and 8,925.30 is: 12,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.96 : 22,741.02 = 8,925.30 : x
  2. Step 2: Convert to fraction form
    16,478.96/22,741.02 = 8,925.30/x
  3. Step 3: Cross multiply
    16,478.96x = 22,741.02 × 8,925.30
  4. Step 4: Simplify right side
    16,478.96x = 202,970,425.81
  5. Step 5: Solve for x
    x = 202,970,425.81/16,478.96
  6. Step 6: Final answer
    x = 12,316.95

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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.