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Finding the Fourth Proportional to 13,689.28, 20,540.31 and 13,468.15

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Solution

The fourth proportional to 13,689.28, 20,540.31 and 13,468.15 is: 20,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.28 : 20,540.31 = 13,468.15 : x
  2. Step 2: Convert to fraction form
    13,689.28/20,540.31 = 13,468.15/x
  3. Step 3: Cross multiply
    13,689.28x = 20,540.31 × 13,468.15
  4. Step 4: Simplify right side
    13,689.28x = 276,639,976.13
  5. Step 5: Solve for x
    x = 276,639,976.13/13,689.28
  6. Step 6: Final answer
    x = 20,208.51

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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.