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Finding the Fourth Proportional to 15,265.31, 22,849.16 and 9,957.87

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Solution

The fourth proportional to 15,265.31, 22,849.16 and 9,957.87 is: 14,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,265.31 : 22,849.16 = 9,957.87 : x
  2. Step 2: Convert to fraction form
    15,265.31/22,849.16 = 9,957.87/x
  3. Step 3: Cross multiply
    15,265.31x = 22,849.16 × 9,957.87
  4. Step 4: Simplify right side
    15,265.31x = 227,528,915.10
  5. Step 5: Solve for x
    x = 227,528,915.10/15,265.31
  6. Step 6: Final answer
    x = 14,904.97

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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.