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Finding the Fourth Proportional to 16,100.38, 22,219.56 and 9,027.88

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Solution

The fourth proportional to 16,100.38, 22,219.56 and 9,027.88 is: 12,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.38 : 22,219.56 = 9,027.88 : x
  2. Step 2: Convert to fraction form
    16,100.38/22,219.56 = 9,027.88/x
  3. Step 3: Cross multiply
    16,100.38x = 22,219.56 × 9,027.88
  4. Step 4: Simplify right side
    16,100.38x = 200,595,521.33
  5. Step 5: Solve for x
    x = 200,595,521.33/16,100.38
  6. Step 6: Final answer
    x = 12,459.06

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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.