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Finding the Fourth Proportional to 17,635.20, 26,452.80 and 13,742.52

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Solution

The fourth proportional to 17,635.20, 26,452.80 and 13,742.52 is: 20,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.20 : 26,452.80 = 13,742.52 : x
  2. Step 2: Convert to fraction form
    17,635.20/26,452.80 = 13,742.52/x
  3. Step 3: Cross multiply
    17,635.20x = 26,452.80 × 13,742.52
  4. Step 4: Simplify right side
    17,635.20x = 363,528,133.06
  5. Step 5: Solve for x
    x = 363,528,133.06/17,635.20
  6. Step 6: Final answer
    x = 20,613.78

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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.