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Finding the Fourth Proportional to 20,498.60, 30,747.90 and 20,109.80

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Solution

The fourth proportional to 20,498.60, 30,747.90 and 20,109.80 is: 30,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.60 : 30,747.90 = 20,109.80 : x
  2. Step 2: Convert to fraction form
    20,498.60/30,747.90 = 20,109.80/x
  3. Step 3: Cross multiply
    20,498.60x = 30,747.90 × 20,109.80
  4. Step 4: Simplify right side
    20,498.60x = 618,334,119.42
  5. Step 5: Solve for x
    x = 618,334,119.42/20,498.60
  6. Step 6: Final answer
    x = 30,164.70

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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.