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Finding the Fourth Proportional to 12,472.13, 18,711.90 and 7,205.85

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Solution

The fourth proportional to 12,472.13, 18,711.90 and 7,205.85 is: 10,810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.13 : 18,711.90 = 7,205.85 : x
  2. Step 2: Convert to fraction form
    12,472.13/18,711.90 = 7,205.85/x
  3. Step 3: Cross multiply
    12,472.13x = 18,711.90 × 7,205.85
  4. Step 4: Simplify right side
    12,472.13x = 134,835,144.62
  5. Step 5: Solve for x
    x = 134,835,144.62/12,472.13
  6. Step 6: Final answer
    x = 10,810.92

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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.