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Finding the Fourth Proportional to 13,456.71, 20,178.99 and 4,097.88

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Solution

The fourth proportional to 13,456.71, 20,178.99 and 4,097.88 is: 6,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.71 : 20,178.99 = 4,097.88 : x
  2. Step 2: Convert to fraction form
    13,456.71/20,178.99 = 4,097.88/x
  3. Step 3: Cross multiply
    13,456.71x = 20,178.99 × 4,097.88
  4. Step 4: Simplify right side
    13,456.71x = 82,691,079.54
  5. Step 5: Solve for x
    x = 82,691,079.54/13,456.71
  6. Step 6: Final answer
    x = 6,144.97

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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.