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Finding the Fourth Proportional to 24,115.10, 36,124.05 and 16,241.90

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Solution

The fourth proportional to 24,115.10, 36,124.05 and 16,241.90 is: 24,330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.10 : 36,124.05 = 16,241.90 : x
  2. Step 2: Convert to fraction form
    24,115.10/36,124.05 = 16,241.90/x
  3. Step 3: Cross multiply
    24,115.10x = 36,124.05 × 16,241.90
  4. Step 4: Simplify right side
    24,115.10x = 586,723,207.70
  5. Step 5: Solve for x
    x = 586,723,207.70/24,115.10
  6. Step 6: Final answer
    x = 24,330.12

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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.