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Finding the Fourth Proportional to 20,251.98, 30,378.33 and 7,104.78

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Solution

The fourth proportional to 20,251.98, 30,378.33 and 7,104.78 is: 10,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.98 : 30,378.33 = 7,104.78 : x
  2. Step 2: Convert to fraction form
    20,251.98/30,378.33 = 7,104.78/x
  3. Step 3: Cross multiply
    20,251.98x = 30,378.33 × 7,104.78
  4. Step 4: Simplify right side
    20,251.98x = 215,831,351.42
  5. Step 5: Solve for x
    x = 215,831,351.42/20,251.98
  6. Step 6: Final answer
    x = 10,657.30

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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.