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Finding the Fourth Proportional to 16,171.50, 24,257.28 and 5,227.50

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Solution

The fourth proportional to 16,171.50, 24,257.28 and 5,227.50 is: 7,841.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.50 : 24,257.28 = 5,227.50 : x
  2. Step 2: Convert to fraction form
    16,171.50/24,257.28 = 5,227.50/x
  3. Step 3: Cross multiply
    16,171.50x = 24,257.28 × 5,227.50
  4. Step 4: Simplify right side
    16,171.50x = 126,804,931.20
  5. Step 5: Solve for x
    x = 126,804,931.20/16,171.50
  6. Step 6: Final answer
    x = 7,841.26

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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.