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Finding the Fourth Proportional to 20,227.10, 30,340.65 and 13,228.70

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Solution

The fourth proportional to 20,227.10, 30,340.65 and 13,228.70 is: 19,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.10 : 30,340.65 = 13,228.70 : x
  2. Step 2: Convert to fraction form
    20,227.10/30,340.65 = 13,228.70/x
  3. Step 3: Cross multiply
    20,227.10x = 30,340.65 × 13,228.70
  4. Step 4: Simplify right side
    20,227.10x = 401,367,356.66
  5. Step 5: Solve for x
    x = 401,367,356.66/20,227.10
  6. Step 6: Final answer
    x = 19,843.05

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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.