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Finding the Fourth Proportional to 24,113.60, 36,175.20 and 8,542.24

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Solution

The fourth proportional to 24,113.60, 36,175.20 and 8,542.24 is: 12,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,113.60 : 36,175.20 = 8,542.24 : x
  2. Step 2: Convert to fraction form
    24,113.60/36,175.20 = 8,542.24/x
  3. Step 3: Cross multiply
    24,113.60x = 36,175.20 × 8,542.24
  4. Step 4: Simplify right side
    24,113.60x = 309,017,240.45
  5. Step 5: Solve for x
    x = 309,017,240.45/24,113.60
  6. Step 6: Final answer
    x = 12,815.06

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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.