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Finding the Fourth Proportional to 17,882.47, 24,678.21 and 9,924.58

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Solution

The fourth proportional to 17,882.47, 24,678.21 and 9,924.58 is: 13,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.47 : 24,678.21 = 9,924.58 : x
  2. Step 2: Convert to fraction form
    17,882.47/24,678.21 = 9,924.58/x
  3. Step 3: Cross multiply
    17,882.47x = 24,678.21 × 9,924.58
  4. Step 4: Simplify right side
    17,882.47x = 244,920,869.40
  5. Step 5: Solve for x
    x = 244,920,869.40/17,882.47
  6. Step 6: Final answer
    x = 13,696.14

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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.