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Finding the Fourth Proportional to 13,149.14, 19,726.50 and 3,789.08

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Solution

The fourth proportional to 13,149.14, 19,726.50 and 3,789.08 is: 5,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.14 : 19,726.50 = 3,789.08 : x
  2. Step 2: Convert to fraction form
    13,149.14/19,726.50 = 3,789.08/x
  3. Step 3: Cross multiply
    13,149.14x = 19,726.50 × 3,789.08
  4. Step 4: Simplify right side
    13,149.14x = 74,745,286.62
  5. Step 5: Solve for x
    x = 74,745,286.62/13,149.14
  6. Step 6: Final answer
    x = 5,684.42

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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.