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Finding the Fourth Proportional to 12,487.87, 17,234.03 and 7,182.57

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Solution

The fourth proportional to 12,487.87, 17,234.03 and 7,182.57 is: 9,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,487.87 : 17,234.03 = 7,182.57 : x
  2. Step 2: Convert to fraction form
    12,487.87/17,234.03 = 7,182.57/x
  3. Step 3: Cross multiply
    12,487.87x = 17,234.03 × 7,182.57
  4. Step 4: Simplify right side
    12,487.87x = 123,784,709.44
  5. Step 5: Solve for x
    x = 123,784,709.44/12,487.87
  6. Step 6: Final answer
    x = 9,912.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.