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Finding the Fourth Proportional to 24,472.44, 36,672.62 and 10,947.20

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Solution

The fourth proportional to 24,472.44, 36,672.62 and 10,947.20 is: 16,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.44 : 36,672.62 = 10,947.20 : x
  2. Step 2: Convert to fraction form
    24,472.44/36,672.62 = 10,947.20/x
  3. Step 3: Cross multiply
    24,472.44x = 36,672.62 × 10,947.20
  4. Step 4: Simplify right side
    24,472.44x = 401,462,505.66
  5. Step 5: Solve for x
    x = 401,462,505.66/24,472.44
  6. Step 6: Final answer
    x = 16,404.68

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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.