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Finding the Fourth Proportional to 15,211.20, 20,990.82 and 9,549

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Solution

The fourth proportional to 15,211.20, 20,990.82 and 9,549 is: 13,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.20 : 20,990.82 = 9,549 : x
  2. Step 2: Convert to fraction form
    15,211.20/20,990.82 = 9,549/x
  3. Step 3: Cross multiply
    15,211.20x = 20,990.82 × 9,549
  4. Step 4: Simplify right side
    15,211.20x = 200,441,340.18
  5. Step 5: Solve for x
    x = 200,441,340.18/15,211.20
  6. Step 6: Final answer
    x = 13,177.22

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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.