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Finding the Fourth Proportional to 20,965.56, 31,449.35 and 6,174.62

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Solution

The fourth proportional to 20,965.56, 31,449.35 and 6,174.62 is: 9,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.56 : 31,449.35 = 6,174.62 : x
  2. Step 2: Convert to fraction form
    20,965.56/31,449.35 = 6,174.62/x
  3. Step 3: Cross multiply
    20,965.56x = 31,449.35 × 6,174.62
  4. Step 4: Simplify right side
    20,965.56x = 194,187,785.50
  5. Step 5: Solve for x
    x = 194,187,785.50/20,965.56
  6. Step 6: Final answer
    x = 9,262.23

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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.