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Finding the Fourth Proportional to 16,397.31, 24,589.93 and 5,864.48

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Solution

The fourth proportional to 16,397.31, 24,589.93 and 5,864.48 is: 8,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.31 : 24,589.93 = 5,864.48 : x
  2. Step 2: Convert to fraction form
    16,397.31/24,589.93 = 5,864.48/x
  3. Step 3: Cross multiply
    16,397.31x = 24,589.93 × 5,864.48
  4. Step 4: Simplify right side
    16,397.31x = 144,207,049.12
  5. Step 5: Solve for x
    x = 144,207,049.12/16,397.31
  6. Step 6: Final answer
    x = 8,794.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.