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Finding the Fourth Proportional to 15,725.92, 21,702.24 and 9,013.68

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Solution

The fourth proportional to 15,725.92, 21,702.24 and 9,013.68 is: 12,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,725.92 : 21,702.24 = 9,013.68 : x
  2. Step 2: Convert to fraction form
    15,725.92/21,702.24 = 9,013.68/x
  3. Step 3: Cross multiply
    15,725.92x = 21,702.24 × 9,013.68
  4. Step 4: Simplify right side
    15,725.92x = 195,617,046.64
  5. Step 5: Solve for x
    x = 195,617,046.64/15,725.92
  6. Step 6: Final answer
    x = 12,439.15

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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.