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Finding the Fourth Proportional to 12,806.11, 17,672.57 and 7,141.38

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Solution

The fourth proportional to 12,806.11, 17,672.57 and 7,141.38 is: 9,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.11 : 17,672.57 = 7,141.38 : x
  2. Step 2: Convert to fraction form
    12,806.11/17,672.57 = 7,141.38/x
  3. Step 3: Cross multiply
    12,806.11x = 17,672.57 × 7,141.38
  4. Step 4: Simplify right side
    12,806.11x = 126,206,537.95
  5. Step 5: Solve for x
    x = 126,206,537.95/12,806.11
  6. Step 6: Final answer
    x = 9,855.18

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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.