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Finding the Fourth Proportional to 20,515.46, 30,773.18 and 15,842.28

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Solution

The fourth proportional to 20,515.46, 30,773.18 and 15,842.28 is: 23,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,515.46 : 30,773.18 = 15,842.28 : x
  2. Step 2: Convert to fraction form
    20,515.46/30,773.18 = 15,842.28/x
  3. Step 3: Cross multiply
    20,515.46x = 30,773.18 × 15,842.28
  4. Step 4: Simplify right side
    20,515.46x = 487,517,373.66
  5. Step 5: Solve for x
    x = 487,517,373.66/20,515.46
  6. Step 6: Final answer
    x = 23,763.42

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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.