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Finding the Fourth Proportional to 12,006.25, 17,972.47 and 10,234.78

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Solution

The fourth proportional to 12,006.25, 17,972.47 and 10,234.78 is: 15,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.25 : 17,972.47 = 10,234.78 : x
  2. Step 2: Convert to fraction form
    12,006.25/17,972.47 = 10,234.78/x
  3. Step 3: Cross multiply
    12,006.25x = 17,972.47 × 10,234.78
  4. Step 4: Simplify right side
    12,006.25x = 183,944,280.52
  5. Step 5: Solve for x
    x = 183,944,280.52/12,006.25
  6. Step 6: Final answer
    x = 15,320.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.