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Finding the Fourth Proportional to 20,713.20, 31,069.80 and 9,049.20

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Solution

The fourth proportional to 20,713.20, 31,069.80 and 9,049.20 is: 13,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.20 : 31,069.80 = 9,049.20 : x
  2. Step 2: Convert to fraction form
    20,713.20/31,069.80 = 9,049.20/x
  3. Step 3: Cross multiply
    20,713.20x = 31,069.80 × 9,049.20
  4. Step 4: Simplify right side
    20,713.20x = 281,156,834.16
  5. Step 5: Solve for x
    x = 281,156,834.16/20,713.20
  6. Step 6: Final answer
    x = 13,573.80

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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.