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Finding the Fourth Proportional to 20,382.38, 30,565.82 and 8,536.94

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Solution

The fourth proportional to 20,382.38, 30,565.82 and 8,536.94 is: 12,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.38 : 30,565.82 = 8,536.94 : x
  2. Step 2: Convert to fraction form
    20,382.38/30,565.82 = 8,536.94/x
  3. Step 3: Cross multiply
    20,382.38x = 30,565.82 × 8,536.94
  4. Step 4: Simplify right side
    20,382.38x = 260,938,375.88
  5. Step 5: Solve for x
    x = 260,938,375.88/20,382.38
  6. Step 6: Final answer
    x = 12,802.16

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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.