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Finding the Fourth Proportional to 23,171.67, 34,744.95 and 8,171.28

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Solution

The fourth proportional to 23,171.67, 34,744.95 and 8,171.28 is: 12,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,171.67 : 34,744.95 = 8,171.28 : x
  2. Step 2: Convert to fraction form
    23,171.67/34,744.95 = 8,171.28/x
  3. Step 3: Cross multiply
    23,171.67x = 34,744.95 × 8,171.28
  4. Step 4: Simplify right side
    23,171.67x = 283,910,715.04
  5. Step 5: Solve for x
    x = 283,910,715.04/23,171.67
  6. Step 6: Final answer
    x = 12,252.49

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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.