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Finding the Fourth Proportional to 17,678.14, 24,395.92 and 9,720.88

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Solution

The fourth proportional to 17,678.14, 24,395.92 and 9,720.88 is: 13,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.14 : 24,395.92 = 9,720.88 : x
  2. Step 2: Convert to fraction form
    17,678.14/24,395.92 = 9,720.88/x
  3. Step 3: Cross multiply
    17,678.14x = 24,395.92 × 9,720.88
  4. Step 4: Simplify right side
    17,678.14x = 237,149,725.52
  5. Step 5: Solve for x
    x = 237,149,725.52/17,678.14
  6. Step 6: Final answer
    x = 13,414.86

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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.