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Finding the Fourth Proportional to 12,882.26, 17,778.95 and 7,217.93

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Solution

The fourth proportional to 12,882.26, 17,778.95 and 7,217.93 is: 9,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.26 : 17,778.95 = 7,217.93 : x
  2. Step 2: Convert to fraction form
    12,882.26/17,778.95 = 7,217.93/x
  3. Step 3: Cross multiply
    12,882.26x = 17,778.95 × 7,217.93
  4. Step 4: Simplify right side
    12,882.26x = 128,327,091.59
  5. Step 5: Solve for x
    x = 128,327,091.59/12,882.26
  6. Step 6: Final answer
    x = 9,961.54

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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.