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Finding the Fourth Proportional to 12,816.89, 17,687.31 and 7,511.70

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Solution

The fourth proportional to 12,816.89, 17,687.31 and 7,511.70 is: 10,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.89 : 17,687.31 = 7,511.70 : x
  2. Step 2: Convert to fraction form
    12,816.89/17,687.31 = 7,511.70/x
  3. Step 3: Cross multiply
    12,816.89x = 17,687.31 × 7,511.70
  4. Step 4: Simplify right side
    12,816.89x = 132,861,766.53
  5. Step 5: Solve for x
    x = 132,861,766.53/12,816.89
  6. Step 6: Final answer
    x = 10,366.15

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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.