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Finding the Fourth Proportional to 10,098.32, 15,127.80 and 9,740.24

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Solution

The fourth proportional to 10,098.32, 15,127.80 and 9,740.24 is: 14,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.32 : 15,127.80 = 9,740.24 : x
  2. Step 2: Convert to fraction form
    10,098.32/15,127.80 = 9,740.24/x
  3. Step 3: Cross multiply
    10,098.32x = 15,127.80 × 9,740.24
  4. Step 4: Simplify right side
    10,098.32x = 147,348,402.67
  5. Step 5: Solve for x
    x = 147,348,402.67/10,098.32
  6. Step 6: Final answer
    x = 14,591.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.