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Finding the Fourth Proportional to 13,478.27, 20,216.79 and 5,162.20

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Solution

The fourth proportional to 13,478.27, 20,216.79 and 5,162.20 is: 7,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.27 : 20,216.79 = 5,162.20 : x
  2. Step 2: Convert to fraction form
    13,478.27/20,216.79 = 5,162.20/x
  3. Step 3: Cross multiply
    13,478.27x = 20,216.79 × 5,162.20
  4. Step 4: Simplify right side
    13,478.27x = 104,363,062.80
  5. Step 5: Solve for x
    x = 104,363,062.80/13,478.27
  6. Step 6: Final answer
    x = 7,743.06

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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.