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Finding the Fourth Proportional to 13,378.17, 20,067.45 and 6,358.90

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Solution

The fourth proportional to 13,378.17, 20,067.45 and 6,358.90 is: 9,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.17 : 20,067.45 = 6,358.90 : x
  2. Step 2: Convert to fraction form
    13,378.17/20,067.45 = 6,358.90/x
  3. Step 3: Cross multiply
    13,378.17x = 20,067.45 × 6,358.90
  4. Step 4: Simplify right side
    13,378.17x = 127,606,857.64
  5. Step 5: Solve for x
    x = 127,606,857.64/13,378.17
  6. Step 6: Final answer
    x = 9,538.44

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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.