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Finding the Fourth Proportional to 24,339.60, 36,541.80 and 19,414.80

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Solution

The fourth proportional to 24,339.60, 36,541.80 and 19,414.80 is: 29,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,339.60 : 36,541.80 = 19,414.80 : x
  2. Step 2: Convert to fraction form
    24,339.60/36,541.80 = 19,414.80/x
  3. Step 3: Cross multiply
    24,339.60x = 36,541.80 × 19,414.80
  4. Step 4: Simplify right side
    24,339.60x = 709,451,738.64
  5. Step 5: Solve for x
    x = 709,451,738.64/24,339.60
  6. Step 6: Final answer
    x = 29,148.04

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Why These Related Problems?

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