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Finding the Fourth Proportional to 24,158.52, 36,241.96 and 8,146.52

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Solution

The fourth proportional to 24,158.52, 36,241.96 and 8,146.52 is: 12,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,158.52 : 36,241.96 = 8,146.52 : x
  2. Step 2: Convert to fraction form
    24,158.52/36,241.96 = 8,146.52/x
  3. Step 3: Cross multiply
    24,158.52x = 36,241.96 × 8,146.52
  4. Step 4: Simplify right side
    24,158.52x = 295,245,851.98
  5. Step 5: Solve for x
    x = 295,245,851.98/24,158.52
  6. Step 6: Final answer
    x = 12,221.19

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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.