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Finding the Fourth Proportional to 20,842.24, 31,253.88 and 8,990.40

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Solution

The fourth proportional to 20,842.24, 31,253.88 and 8,990.40 is: 13,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.24 : 31,253.88 = 8,990.40 : x
  2. Step 2: Convert to fraction form
    20,842.24/31,253.88 = 8,990.40/x
  3. Step 3: Cross multiply
    20,842.24x = 31,253.88 × 8,990.40
  4. Step 4: Simplify right side
    20,842.24x = 280,984,882.75
  5. Step 5: Solve for x
    x = 280,984,882.75/20,842.24
  6. Step 6: Final answer
    x = 13,481.51

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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.