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Finding the Fourth Proportional to 20,117.60, 30,157.20 and 15,672.80

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Solution

The fourth proportional to 20,117.60, 30,157.20 and 15,672.80 is: 23,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.60 : 30,157.20 = 15,672.80 : x
  2. Step 2: Convert to fraction form
    20,117.60/30,157.20 = 15,672.80/x
  3. Step 3: Cross multiply
    20,117.60x = 30,157.20 × 15,672.80
  4. Step 4: Simplify right side
    20,117.60x = 472,647,764.16
  5. Step 5: Solve for x
    x = 472,647,764.16/20,117.60
  6. Step 6: Final answer
    x = 23,494.24

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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.