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Finding the Fourth Proportional to 24,557.68, 36,841.56 and 7,919.92

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Solution

The fourth proportional to 24,557.68, 36,841.56 and 7,919.92 is: 11,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,557.68 : 36,841.56 = 7,919.92 : x
  2. Step 2: Convert to fraction form
    24,557.68/36,841.56 = 7,919.92/x
  3. Step 3: Cross multiply
    24,557.68x = 36,841.56 × 7,919.92
  4. Step 4: Simplify right side
    24,557.68x = 291,782,207.88
  5. Step 5: Solve for x
    x = 291,782,207.88/24,557.68
  6. Step 6: Final answer
    x = 11,881.51

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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.