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Finding the Fourth Proportional to 11,180.49, 16,755 and 8,830.14

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Solution

The fourth proportional to 11,180.49, 16,755 and 8,830.14 is: 13,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.49 : 16,755 = 8,830.14 : x
  2. Step 2: Convert to fraction form
    11,180.49/16,755 = 8,830.14/x
  3. Step 3: Cross multiply
    11,180.49x = 16,755 × 8,830.14
  4. Step 4: Simplify right side
    11,180.49x = 147,948,995.70
  5. Step 5: Solve for x
    x = 147,948,995.70/11,180.49
  6. Step 6: Final answer
    x = 13,232.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.