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Finding the Fourth Proportional to 12,077.10, 18,115.65 and 7,144.20

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Solution

The fourth proportional to 12,077.10, 18,115.65 and 7,144.20 is: 10,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.10 : 18,115.65 = 7,144.20 : x
  2. Step 2: Convert to fraction form
    12,077.10/18,115.65 = 7,144.20/x
  3. Step 3: Cross multiply
    12,077.10x = 18,115.65 × 7,144.20
  4. Step 4: Simplify right side
    12,077.10x = 129,421,826.73
  5. Step 5: Solve for x
    x = 129,421,826.73/12,077.10
  6. Step 6: Final answer
    x = 10,716.30

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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.