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Finding the Fourth Proportional to 22,489.64, 33,728.72 and 6,691.13

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Solution

The fourth proportional to 22,489.64, 33,728.72 and 6,691.13 is: 10,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.64 : 33,728.72 = 6,691.13 : x
  2. Step 2: Convert to fraction form
    22,489.64/33,728.72 = 6,691.13/x
  3. Step 3: Cross multiply
    22,489.64x = 33,728.72 × 6,691.13
  4. Step 4: Simplify right side
    22,489.64x = 225,683,048.15
  5. Step 5: Solve for x
    x = 225,683,048.15/22,489.64
  6. Step 6: Final answer
    x = 10,034.98

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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.