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Finding the Fourth Proportional to 24,292.65, 36,439.88 and 8,494.59

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Solution

The fourth proportional to 24,292.65, 36,439.88 and 8,494.59 is: 12,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,292.65 : 36,439.88 = 8,494.59 : x
  2. Step 2: Convert to fraction form
    24,292.65/36,439.88 = 8,494.59/x
  3. Step 3: Cross multiply
    24,292.65x = 36,439.88 × 8,494.59
  4. Step 4: Simplify right side
    24,292.65x = 309,541,797.78
  5. Step 5: Solve for x
    x = 309,541,797.78/24,292.65
  6. Step 6: Final answer
    x = 12,742.20

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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.