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Finding the Fourth Proportional to 17,882.24, 24,677.12 and 9,924

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Solution

The fourth proportional to 17,882.24, 24,677.12 and 9,924 is: 13,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.24 : 24,677.12 = 9,924 : x
  2. Step 2: Convert to fraction form
    17,882.24/24,677.12 = 9,924/x
  3. Step 3: Cross multiply
    17,882.24x = 24,677.12 × 9,924
  4. Step 4: Simplify right side
    17,882.24x = 244,895,738.88
  5. Step 5: Solve for x
    x = 244,895,738.88/17,882.24
  6. Step 6: Final answer
    x = 13,694.91

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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.