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Finding the Fourth Proportional to 15,757.92, 21,742 and 10,013.28

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Solution

The fourth proportional to 15,757.92, 21,742 and 10,013.28 is: 13,815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.92 : 21,742 = 10,013.28 : x
  2. Step 2: Convert to fraction form
    15,757.92/21,742 = 10,013.28/x
  3. Step 3: Cross multiply
    15,757.92x = 21,742 × 10,013.28
  4. Step 4: Simplify right side
    15,757.92x = 217,708,733.76
  5. Step 5: Solve for x
    x = 217,708,733.76/15,757.92
  6. Step 6: Final answer
    x = 13,815.83

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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.