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Finding the Fourth Proportional to 13,190.85, 18,203.13 and 7,882.65

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Solution

The fourth proportional to 13,190.85, 18,203.13 and 7,882.65 is: 10,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.85 : 18,203.13 = 7,882.65 : x
  2. Step 2: Convert to fraction form
    13,190.85/18,203.13 = 7,882.65/x
  3. Step 3: Cross multiply
    13,190.85x = 18,203.13 × 7,882.65
  4. Step 4: Simplify right side
    13,190.85x = 143,488,902.69
  5. Step 5: Solve for x
    x = 143,488,902.69/13,190.85
  6. Step 6: Final answer
    x = 10,877.91

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