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Finding the Fourth Proportional to 17,882.34, 24,677.70 and 9,924.57

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Solution

The fourth proportional to 17,882.34, 24,677.70 and 9,924.57 is: 13,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.34 : 24,677.70 = 9,924.57 : x
  2. Step 2: Convert to fraction form
    17,882.34/24,677.70 = 9,924.57/x
  3. Step 3: Cross multiply
    17,882.34x = 24,677.70 × 9,924.57
  4. Step 4: Simplify right side
    17,882.34x = 244,915,561.09
  5. Step 5: Solve for x
    x = 244,915,561.09/17,882.34
  6. Step 6: Final answer
    x = 13,695.95

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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.