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Finding the Fourth Proportional to 16,223.80, 24,278.10 and 11,270.20

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Solution

The fourth proportional to 16,223.80, 24,278.10 and 11,270.20 is: 16,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.80 : 24,278.10 = 11,270.20 : x
  2. Step 2: Convert to fraction form
    16,223.80/24,278.10 = 11,270.20/x
  3. Step 3: Cross multiply
    16,223.80x = 24,278.10 × 11,270.20
  4. Step 4: Simplify right side
    16,223.80x = 273,619,042.62
  5. Step 5: Solve for x
    x = 273,619,042.62/16,223.80
  6. Step 6: Final answer
    x = 16,865.29

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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.