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Finding the Fourth Proportional to 17,882.49, 24,677.60 and 9,924.69

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Solution

The fourth proportional to 17,882.49, 24,677.60 and 9,924.69 is: 13,695.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.49 : 24,677.60 = 9,924.69 : x
  2. Step 2: Convert to fraction form
    17,882.49/24,677.60 = 9,924.69/x
  3. Step 3: Cross multiply
    17,882.49x = 24,677.60 × 9,924.69
  4. Step 4: Simplify right side
    17,882.49x = 244,917,480.32
  5. Step 5: Solve for x
    x = 244,917,480.32/17,882.49
  6. Step 6: Final answer
    x = 13,695.94

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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.