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Finding the Fourth Proportional to 16,132.80, 24,193.42 and 5,742.48

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Solution

The fourth proportional to 16,132.80, 24,193.42 and 5,742.48 is: 8,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,132.80 : 24,193.42 = 5,742.48 : x
  2. Step 2: Convert to fraction form
    16,132.80/24,193.42 = 5,742.48/x
  3. Step 3: Cross multiply
    16,132.80x = 24,193.42 × 5,742.48
  4. Step 4: Simplify right side
    16,132.80x = 138,930,230.48
  5. Step 5: Solve for x
    x = 138,930,230.48/16,132.80
  6. Step 6: Final answer
    x = 8,611.66

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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.