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Finding the Fourth Proportional to 24,691.80, 37,034.10 and 7,159.80

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Solution

The fourth proportional to 24,691.80, 37,034.10 and 7,159.80 is: 10,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,691.80 : 37,034.10 = 7,159.80 : x
  2. Step 2: Convert to fraction form
    24,691.80/37,034.10 = 7,159.80/x
  3. Step 3: Cross multiply
    24,691.80x = 37,034.10 × 7,159.80
  4. Step 4: Simplify right side
    24,691.80x = 265,156,749.18
  5. Step 5: Solve for x
    x = 265,156,749.18/24,691.80
  6. Step 6: Final answer
    x = 10,738.66

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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.