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Finding the Fourth Proportional to 17,748.92, 24,494.96 and 9,792

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Solution

The fourth proportional to 17,748.92, 24,494.96 and 9,792 is: 13,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,748.92 : 24,494.96 = 9,792 : x
  2. Step 2: Convert to fraction form
    17,748.92/24,494.96 = 9,792/x
  3. Step 3: Cross multiply
    17,748.92x = 24,494.96 × 9,792
  4. Step 4: Simplify right side
    17,748.92x = 239,854,648.32
  5. Step 5: Solve for x
    x = 239,854,648.32/17,748.92
  6. Step 6: Final answer
    x = 13,513.76

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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.