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Finding the Fourth Proportional to 12,139.20, 18,189.36 and 10,195.20

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Solution

The fourth proportional to 12,139.20, 18,189.36 and 10,195.20 is: 15,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.20 : 18,189.36 = 10,195.20 : x
  2. Step 2: Convert to fraction form
    12,139.20/18,189.36 = 10,195.20/x
  3. Step 3: Cross multiply
    12,139.20x = 18,189.36 × 10,195.20
  4. Step 4: Simplify right side
    12,139.20x = 185,444,163.07
  5. Step 5: Solve for x
    x = 185,444,163.07/12,139.20
  6. Step 6: Final answer
    x = 15,276.47

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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.