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Finding the Fourth Proportional to 20,147.24, 30,230.76 and 9,061.76

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Solution

The fourth proportional to 20,147.24, 30,230.76 and 9,061.76 is: 13,597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.24 : 30,230.76 = 9,061.76 : x
  2. Step 2: Convert to fraction form
    20,147.24/30,230.76 = 9,061.76/x
  3. Step 3: Cross multiply
    20,147.24x = 30,230.76 × 9,061.76
  4. Step 4: Simplify right side
    20,147.24x = 273,943,891.74
  5. Step 5: Solve for x
    x = 273,943,891.74/20,147.24
  6. Step 6: Final answer
    x = 13,597.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.