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Finding the Fourth Proportional to 17,874.12, 24,658.20 and 11,161.41

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Solution

The fourth proportional to 17,874.12, 24,658.20 and 11,161.41 is: 15,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.12 : 24,658.20 = 11,161.41 : x
  2. Step 2: Convert to fraction form
    17,874.12/24,658.20 = 11,161.41/x
  3. Step 3: Cross multiply
    17,874.12x = 24,658.20 × 11,161.41
  4. Step 4: Simplify right side
    17,874.12x = 275,220,280.06
  5. Step 5: Solve for x
    x = 275,220,280.06/17,874.12
  6. Step 6: Final answer
    x = 15,397.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.