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Finding the Fourth Proportional to 24,144.69, 36,217.04 and 7,500.25

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Solution

The fourth proportional to 24,144.69, 36,217.04 and 7,500.25 is: 11,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.69 : 36,217.04 = 7,500.25 : x
  2. Step 2: Convert to fraction form
    24,144.69/36,217.04 = 7,500.25/x
  3. Step 3: Cross multiply
    24,144.69x = 36,217.04 × 7,500.25
  4. Step 4: Simplify right side
    24,144.69x = 271,636,854.26
  5. Step 5: Solve for x
    x = 271,636,854.26/24,144.69
  6. Step 6: Final answer
    x = 11,250.38

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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.