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Finding the Fourth Proportional to 13,882.62, 20,827.04 and 4,022.66

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Solution

The fourth proportional to 13,882.62, 20,827.04 and 4,022.66 is: 6,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.62 : 20,827.04 = 4,022.66 : x
  2. Step 2: Convert to fraction form
    13,882.62/20,827.04 = 4,022.66/x
  3. Step 3: Cross multiply
    13,882.62x = 20,827.04 × 4,022.66
  4. Step 4: Simplify right side
    13,882.62x = 83,779,976.48
  5. Step 5: Solve for x
    x = 83,779,976.48/13,882.62
  6. Step 6: Final answer
    x = 6,034.88

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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.