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Finding the Fourth Proportional to 24,254.60, 36,385.52 and 8,671

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Solution

The fourth proportional to 24,254.60, 36,385.52 and 8,671 is: 13,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.60 : 36,385.52 = 8,671 : x
  2. Step 2: Convert to fraction form
    24,254.60/36,385.52 = 8,671/x
  3. Step 3: Cross multiply
    24,254.60x = 36,385.52 × 8,671
  4. Step 4: Simplify right side
    24,254.60x = 315,498,843.92
  5. Step 5: Solve for x
    x = 315,498,843.92/24,254.60
  6. Step 6: Final answer
    x = 13,007.79

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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.