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Finding the Fourth Proportional to 16,617.28, 22,929.20 and 9,902.74

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Solution

The fourth proportional to 16,617.28, 22,929.20 and 9,902.74 is: 13,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617.28 : 22,929.20 = 9,902.74 : x
  2. Step 2: Convert to fraction form
    16,617.28/22,929.20 = 9,902.74/x
  3. Step 3: Cross multiply
    16,617.28x = 22,929.20 × 9,902.74
  4. Step 4: Simplify right side
    16,617.28x = 227,061,906.01
  5. Step 5: Solve for x
    x = 227,061,906.01/16,617.28
  6. Step 6: Final answer
    x = 13,664.20

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