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Finding the Fourth Proportional to 13,478.13, 20,221.13 and 3,990.71

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Solution

The fourth proportional to 13,478.13, 20,221.13 and 3,990.71 is: 5,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.13 : 20,221.13 = 3,990.71 : x
  2. Step 2: Convert to fraction form
    13,478.13/20,221.13 = 3,990.71/x
  3. Step 3: Cross multiply
    13,478.13x = 20,221.13 × 3,990.71
  4. Step 4: Simplify right side
    13,478.13x = 80,696,544.64
  5. Step 5: Solve for x
    x = 80,696,544.64/13,478.13
  6. Step 6: Final answer
    x = 5,987.22

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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.