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Finding the Fourth Proportional to 24,117.88, 36,178.02 and 7,489.24

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Solution

The fourth proportional to 24,117.88, 36,178.02 and 7,489.24 is: 11,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117.88 : 36,178.02 = 7,489.24 : x
  2. Step 2: Convert to fraction form
    24,117.88/36,178.02 = 7,489.24/x
  3. Step 3: Cross multiply
    24,117.88x = 36,178.02 × 7,489.24
  4. Step 4: Simplify right side
    24,117.88x = 270,945,874.50
  5. Step 5: Solve for x
    x = 270,945,874.50/24,117.88
  6. Step 6: Final answer
    x = 11,234.23

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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.