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Finding the Fourth Proportional to 12,228.57, 16,882.62 and 7,450.31

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Solution

The fourth proportional to 12,228.57, 16,882.62 and 7,450.31 is: 10,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.57 : 16,882.62 = 7,450.31 : x
  2. Step 2: Convert to fraction form
    12,228.57/16,882.62 = 7,450.31/x
  3. Step 3: Cross multiply
    12,228.57x = 16,882.62 × 7,450.31
  4. Step 4: Simplify right side
    12,228.57x = 125,780,752.61
  5. Step 5: Solve for x
    x = 125,780,752.61/12,228.57
  6. Step 6: Final answer
    x = 10,285.81

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