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Finding the Fourth Proportional to 12,882.65, 17,778.22 and 8,403.82

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Solution

The fourth proportional to 12,882.65, 17,778.22 and 8,403.82 is: 11,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.65 : 17,778.22 = 8,403.82 : x
  2. Step 2: Convert to fraction form
    12,882.65/17,778.22 = 8,403.82/x
  3. Step 3: Cross multiply
    12,882.65x = 17,778.22 × 8,403.82
  4. Step 4: Simplify right side
    12,882.65x = 149,404,895.35
  5. Step 5: Solve for x
    x = 149,404,895.35/12,882.65
  6. Step 6: Final answer
    x = 11,597.38

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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.