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Finding the Fourth Proportional to 12,149.28, 18,224.28 and 8,015.76

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Solution

The fourth proportional to 12,149.28, 18,224.28 and 8,015.76 is: 12,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.28 : 18,224.28 = 8,015.76 : x
  2. Step 2: Convert to fraction form
    12,149.28/18,224.28 = 8,015.76/x
  3. Step 3: Cross multiply
    12,149.28x = 18,224.28 × 8,015.76
  4. Step 4: Simplify right side
    12,149.28x = 146,081,454.65
  5. Step 5: Solve for x
    x = 146,081,454.65/12,149.28
  6. Step 6: Final answer
    x = 12,023.88

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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.