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Finding the Fourth Proportional to 13,149.81, 18,141.17 and 7,843.59

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Solution

The fourth proportional to 13,149.81, 18,141.17 and 7,843.59 is: 10,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.81 : 18,141.17 = 7,843.59 : x
  2. Step 2: Convert to fraction form
    13,149.81/18,141.17 = 7,843.59/x
  3. Step 3: Cross multiply
    13,149.81x = 18,141.17 × 7,843.59
  4. Step 4: Simplify right side
    13,149.81x = 142,291,860.38
  5. Step 5: Solve for x
    x = 142,291,860.38/13,149.81
  6. Step 6: Final answer
    x = 10,820.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.