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Finding the Fourth Proportional to 24,517.29, 36,743.65 and 9,718.14

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Solution

The fourth proportional to 24,517.29, 36,743.65 and 9,718.14 is: 14,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.29 : 36,743.65 = 9,718.14 : x
  2. Step 2: Convert to fraction form
    24,517.29/36,743.65 = 9,718.14/x
  3. Step 3: Cross multiply
    24,517.29x = 36,743.65 × 9,718.14
  4. Step 4: Simplify right side
    24,517.29x = 357,079,726.80
  5. Step 5: Solve for x
    x = 357,079,726.80/24,517.29
  6. Step 6: Final answer
    x = 14,564.41

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Why These Related Problems?

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