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Finding the Fourth Proportional to 20,071.68, 30,107.52 and 8,378.52

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Solution

The fourth proportional to 20,071.68, 30,107.52 and 8,378.52 is: 12,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.68 : 30,107.52 = 8,378.52 : x
  2. Step 2: Convert to fraction form
    20,071.68/30,107.52 = 8,378.52/x
  3. Step 3: Cross multiply
    20,071.68x = 30,107.52 × 8,378.52
  4. Step 4: Simplify right side
    20,071.68x = 252,256,458.47
  5. Step 5: Solve for x
    x = 252,256,458.47/20,071.68
  6. Step 6: Final answer
    x = 12,567.78

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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.