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Finding the Fourth Proportional to 17,678.69, 24,397.25 and 9,721.61

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Solution

The fourth proportional to 17,678.69, 24,397.25 and 9,721.61 is: 13,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.69 : 24,397.25 = 9,721.61 : x
  2. Step 2: Convert to fraction form
    17,678.69/24,397.25 = 9,721.61/x
  3. Step 3: Cross multiply
    17,678.69x = 24,397.25 × 9,721.61
  4. Step 4: Simplify right side
    17,678.69x = 237,180,500.96
  5. Step 5: Solve for x
    x = 237,180,500.96/17,678.69
  6. Step 6: Final answer
    x = 13,416.18

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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.