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Finding the Fourth Proportional to 10,162.20, 15,221.70 and 8,434.20

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Solution

The fourth proportional to 10,162.20, 15,221.70 and 8,434.20 is: 12,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.20 : 15,221.70 = 8,434.20 : x
  2. Step 2: Convert to fraction form
    10,162.20/15,221.70 = 8,434.20/x
  3. Step 3: Cross multiply
    10,162.20x = 15,221.70 × 8,434.20
  4. Step 4: Simplify right side
    10,162.20x = 128,382,862.14
  5. Step 5: Solve for x
    x = 128,382,862.14/10,162.20
  6. Step 6: Final answer
    x = 12,633.37

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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.