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Finding the Fourth Proportional to 20,500.20, 30,748.50 and 5,708.16

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Solution

The fourth proportional to 20,500.20, 30,748.50 and 5,708.16 is: 8,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.20 : 30,748.50 = 5,708.16 : x
  2. Step 2: Convert to fraction form
    20,500.20/30,748.50 = 5,708.16/x
  3. Step 3: Cross multiply
    20,500.20x = 30,748.50 × 5,708.16
  4. Step 4: Simplify right side
    20,500.20x = 175,517,357.76
  5. Step 5: Solve for x
    x = 175,517,357.76/20,500.20
  6. Step 6: Final answer
    x = 8,561.74

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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.