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Finding the Fourth Proportional to 20,382.95, 30,569.56 and 10,517.15

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Solution

The fourth proportional to 20,382.95, 30,569.56 and 10,517.15 is: 15,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.95 : 30,569.56 = 10,517.15 : x
  2. Step 2: Convert to fraction form
    20,382.95/30,569.56 = 10,517.15/x
  3. Step 3: Cross multiply
    20,382.95x = 30,569.56 × 10,517.15
  4. Step 4: Simplify right side
    20,382.95x = 321,504,698.09
  5. Step 5: Solve for x
    x = 321,504,698.09/20,382.95
  6. Step 6: Final answer
    x = 15,773.22

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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.