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Finding the Fourth Proportional to 24,766.80, 37,151.28 and 8,126.76

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Solution

The fourth proportional to 24,766.80, 37,151.28 and 8,126.76 is: 12,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,766.80 : 37,151.28 = 8,126.76 : x
  2. Step 2: Convert to fraction form
    24,766.80/37,151.28 = 8,126.76/x
  3. Step 3: Cross multiply
    24,766.80x = 37,151.28 × 8,126.76
  4. Step 4: Simplify right side
    24,766.80x = 301,919,536.25
  5. Step 5: Solve for x
    x = 301,919,536.25/24,766.80
  6. Step 6: Final answer
    x = 12,190.49

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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.