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Finding the Fourth Proportional to 24,380.74, 36,567.87 and 9,585.69

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Solution

The fourth proportional to 24,380.74, 36,567.87 and 9,585.69 is: 14,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.74 : 36,567.87 = 9,585.69 : x
  2. Step 2: Convert to fraction form
    24,380.74/36,567.87 = 9,585.69/x
  3. Step 3: Cross multiply
    24,380.74x = 36,567.87 × 9,585.69
  4. Step 4: Simplify right side
    24,380.74x = 350,528,265.78
  5. Step 5: Solve for x
    x = 350,528,265.78/24,380.74
  6. Step 6: Final answer
    x = 14,377.26

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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.