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Finding the Fourth Proportional to 13,882.38, 19,163.91 and 8,853.33

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Solution

The fourth proportional to 13,882.38, 19,163.91 and 8,853.33 is: 12,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.38 : 19,163.91 = 8,853.33 : x
  2. Step 2: Convert to fraction form
    13,882.38/19,163.91 = 8,853.33/x
  3. Step 3: Cross multiply
    13,882.38x = 19,163.91 × 8,853.33
  4. Step 4: Simplify right side
    13,882.38x = 169,664,419.32
  5. Step 5: Solve for x
    x = 169,664,419.32/13,882.38
  6. Step 6: Final answer
    x = 12,221.57

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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.