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Finding the Fourth Proportional to 20,757.68, 31,119.06 and 9,658.72

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Solution

The fourth proportional to 20,757.68, 31,119.06 and 9,658.72 is: 14,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.68 : 31,119.06 = 9,658.72 : x
  2. Step 2: Convert to fraction form
    20,757.68/31,119.06 = 9,658.72/x
  3. Step 3: Cross multiply
    20,757.68x = 31,119.06 × 9,658.72
  4. Step 4: Simplify right side
    20,757.68x = 300,570,287.20
  5. Step 5: Solve for x
    x = 300,570,287.20/20,757.68
  6. Step 6: Final answer
    x = 14,479.96

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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.