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Finding the Fourth Proportional to 24,517.28, 36,770.36 and 6,986.72

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Solution

The fourth proportional to 24,517.28, 36,770.36 and 6,986.72 is: 10,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.28 : 36,770.36 = 6,986.72 : x
  2. Step 2: Convert to fraction form
    24,517.28/36,770.36 = 6,986.72/x
  3. Step 3: Cross multiply
    24,517.28x = 36,770.36 × 6,986.72
  4. Step 4: Simplify right side
    24,517.28x = 256,904,209.62
  5. Step 5: Solve for x
    x = 256,904,209.62/24,517.28
  6. Step 6: Final answer
    x = 10,478.50

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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.