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Finding the Fourth Proportional to 20,382.63, 30,573.99 and 5,591.76

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Solution

The fourth proportional to 20,382.63, 30,573.99 and 5,591.76 is: 8,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.63 : 30,573.99 = 5,591.76 : x
  2. Step 2: Convert to fraction form
    20,382.63/30,573.99 = 5,591.76/x
  3. Step 3: Cross multiply
    20,382.63x = 30,573.99 × 5,591.76
  4. Step 4: Simplify right side
    20,382.63x = 170,962,414.32
  5. Step 5: Solve for x
    x = 170,962,414.32/20,382.63
  6. Step 6: Final answer
    x = 8,387.65

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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.