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Finding the Fourth Proportional to 15,787.71, 21,784.55 and 9,414.02

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Solution

The fourth proportional to 15,787.71, 21,784.55 and 9,414.02 is: 12,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,787.71 : 21,784.55 = 9,414.02 : x
  2. Step 2: Convert to fraction form
    15,787.71/21,784.55 = 9,414.02/x
  3. Step 3: Cross multiply
    15,787.71x = 21,784.55 × 9,414.02
  4. Step 4: Simplify right side
    15,787.71x = 205,080,196.78
  5. Step 5: Solve for x
    x = 205,080,196.78/15,787.71
  6. Step 6: Final answer
    x = 12,989.86

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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.