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Finding the Fourth Proportional to 13,451.81, 20,159.21 and 6,864.14

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Solution

The fourth proportional to 13,451.81, 20,159.21 and 6,864.14 is: 10,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.81 : 20,159.21 = 6,864.14 : x
  2. Step 2: Convert to fraction form
    13,451.81/20,159.21 = 6,864.14/x
  3. Step 3: Cross multiply
    13,451.81x = 20,159.21 × 6,864.14
  4. Step 4: Simplify right side
    13,451.81x = 138,375,707.29
  5. Step 5: Solve for x
    x = 138,375,707.29/13,451.81
  6. Step 6: Final answer
    x = 10,286.78

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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.