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Finding the Fourth Proportional to 20,049.56, 30,073.70 and 9,527.15

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Solution

The fourth proportional to 20,049.56, 30,073.70 and 9,527.15 is: 14,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.56 : 30,073.70 = 9,527.15 : x
  2. Step 2: Convert to fraction form
    20,049.56/30,073.70 = 9,527.15/x
  3. Step 3: Cross multiply
    20,049.56x = 30,073.70 × 9,527.15
  4. Step 4: Simplify right side
    20,049.56x = 286,516,452.95
  5. Step 5: Solve for x
    x = 286,516,452.95/20,049.56
  6. Step 6: Final answer
    x = 14,290.41

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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.