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Finding the Fourth Proportional to 24,812.38, 37,222.71 and 11,498.71

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Solution

The fourth proportional to 24,812.38, 37,222.71 and 11,498.71 is: 17,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812.38 : 37,222.71 = 11,498.71 : x
  2. Step 2: Convert to fraction form
    24,812.38/37,222.71 = 11,498.71/x
  3. Step 3: Cross multiply
    24,812.38x = 37,222.71 × 11,498.71
  4. Step 4: Simplify right side
    24,812.38x = 428,013,147.70
  5. Step 5: Solve for x
    x = 428,013,147.70/24,812.38
  6. Step 6: Final answer
    x = 17,249.98

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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.