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Finding the Fourth Proportional to 15,132.14, 20,884.19 and 9,163.65

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Solution

The fourth proportional to 15,132.14, 20,884.19 and 9,163.65 is: 12,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,132.14 : 20,884.19 = 9,163.65 : x
  2. Step 2: Convert to fraction form
    15,132.14/20,884.19 = 9,163.65/x
  3. Step 3: Cross multiply
    15,132.14x = 20,884.19 × 9,163.65
  4. Step 4: Simplify right side
    15,132.14x = 191,375,407.69
  5. Step 5: Solve for x
    x = 191,375,407.69/15,132.14
  6. Step 6: Final answer
    x = 12,646.95

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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.