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Finding the Fourth Proportional to 20,382.38, 30,530.31 and 9,836.90

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Solution

The fourth proportional to 20,382.38, 30,530.31 and 9,836.90 is: 14,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.38 : 30,530.31 = 9,836.90 : x
  2. Step 2: Convert to fraction form
    20,382.38/30,530.31 = 9,836.90/x
  3. Step 3: Cross multiply
    20,382.38x = 30,530.31 × 9,836.90
  4. Step 4: Simplify right side
    20,382.38x = 300,323,606.44
  5. Step 5: Solve for x
    x = 300,323,606.44/20,382.38
  6. Step 6: Final answer
    x = 14,734.47

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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.