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Finding the Fourth Proportional to 24,338.30, 36,511.02 and 7,694.55

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Solution

The fourth proportional to 24,338.30, 36,511.02 and 7,694.55 is: 11,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,338.30 : 36,511.02 = 7,694.55 : x
  2. Step 2: Convert to fraction form
    24,338.30/36,511.02 = 7,694.55/x
  3. Step 3: Cross multiply
    24,338.30x = 36,511.02 × 7,694.55
  4. Step 4: Simplify right side
    24,338.30x = 280,935,868.94
  5. Step 5: Solve for x
    x = 280,935,868.94/24,338.30
  6. Step 6: Final answer
    x = 11,542.96

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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.