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Finding the Fourth Proportional to 20,414.08, 30,618.96 and 6,562

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Solution

The fourth proportional to 20,414.08, 30,618.96 and 6,562 is: 9,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.08 : 30,618.96 = 6,562 : x
  2. Step 2: Convert to fraction form
    20,414.08/30,618.96 = 6,562/x
  3. Step 3: Cross multiply
    20,414.08x = 30,618.96 × 6,562
  4. Step 4: Simplify right side
    20,414.08x = 200,921,615.52
  5. Step 5: Solve for x
    x = 200,921,615.52/20,414.08
  6. Step 6: Final answer
    x = 9,842.31

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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.