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Finding the Fourth Proportional to 15,201.91, 20,982.14 and 8,916.31

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Solution

The fourth proportional to 15,201.91, 20,982.14 and 8,916.31 is: 12,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.91 : 20,982.14 = 8,916.31 : x
  2. Step 2: Convert to fraction form
    15,201.91/20,982.14 = 8,916.31/x
  3. Step 3: Cross multiply
    15,201.91x = 20,982.14 × 8,916.31
  4. Step 4: Simplify right side
    15,201.91x = 187,083,264.70
  5. Step 5: Solve for x
    x = 187,083,264.70/15,201.91
  6. Step 6: Final answer
    x = 12,306.56

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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.