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Finding the Fourth Proportional to 13,765.38, 18,996.30 and 8,100.33

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Solution

The fourth proportional to 13,765.38, 18,996.30 and 8,100.33 is: 11,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.38 : 18,996.30 = 8,100.33 : x
  2. Step 2: Convert to fraction form
    13,765.38/18,996.30 = 8,100.33/x
  3. Step 3: Cross multiply
    13,765.38x = 18,996.30 × 8,100.33
  4. Step 4: Simplify right side
    13,765.38x = 153,876,298.78
  5. Step 5: Solve for x
    x = 153,876,298.78/13,765.38
  6. Step 6: Final answer
    x = 11,178.50

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Why These Related Problems?

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