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Finding the Fourth Proportional to 20,527.56, 30,805.92 and 9,446.76

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Solution

The fourth proportional to 20,527.56, 30,805.92 and 9,446.76 is: 14,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,527.56 : 30,805.92 = 9,446.76 : x
  2. Step 2: Convert to fraction form
    20,527.56/30,805.92 = 9,446.76/x
  3. Step 3: Cross multiply
    20,527.56x = 30,805.92 × 9,446.76
  4. Step 4: Simplify right side
    20,527.56x = 291,016,132.82
  5. Step 5: Solve for x
    x = 291,016,132.82/20,527.56
  6. Step 6: Final answer
    x = 14,176.85

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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.