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Finding the Fourth Proportional to 13,378.48, 20,067.92 and 6,359.21

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Solution

The fourth proportional to 13,378.48, 20,067.92 and 6,359.21 is: 9,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.48 : 20,067.92 = 6,359.21 : x
  2. Step 2: Convert to fraction form
    13,378.48/20,067.92 = 6,359.21/x
  3. Step 3: Cross multiply
    13,378.48x = 20,067.92 × 6,359.21
  4. Step 4: Simplify right side
    13,378.48x = 127,616,117.54
  5. Step 5: Solve for x
    x = 127,616,117.54/13,378.48
  6. Step 6: Final answer
    x = 9,538.91

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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.