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Finding the Fourth Proportional to 17,909.76, 24,715.92 and 10,832.16

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Solution

The fourth proportional to 17,909.76, 24,715.92 and 10,832.16 is: 14,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,909.76 : 24,715.92 = 10,832.16 : x
  2. Step 2: Convert to fraction form
    17,909.76/24,715.92 = 10,832.16/x
  3. Step 3: Cross multiply
    17,909.76x = 24,715.92 × 10,832.16
  4. Step 4: Simplify right side
    17,909.76x = 267,726,799.99
  5. Step 5: Solve for x
    x = 267,726,799.99/17,909.76
  6. Step 6: Final answer
    x = 14,948.65

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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.