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Finding the Fourth Proportional to 20,589.32, 30,862.76 and 8,104.28

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Solution

The fourth proportional to 20,589.32, 30,862.76 and 8,104.28 is: 12,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.32 : 30,862.76 = 8,104.28 : x
  2. Step 2: Convert to fraction form
    20,589.32/30,862.76 = 8,104.28/x
  3. Step 3: Cross multiply
    20,589.32x = 30,862.76 × 8,104.28
  4. Step 4: Simplify right side
    20,589.32x = 250,120,253.78
  5. Step 5: Solve for x
    x = 250,120,253.78/20,589.32
  6. Step 6: Final answer
    x = 12,148.06

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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.