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Finding the Fourth Proportional to 12,438.86, 17,160.39 and 8,239.82

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Solution

The fourth proportional to 12,438.86, 17,160.39 and 8,239.82 is: 11,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.86 : 17,160.39 = 8,239.82 : x
  2. Step 2: Convert to fraction form
    12,438.86/17,160.39 = 8,239.82/x
  3. Step 3: Cross multiply
    12,438.86x = 17,160.39 × 8,239.82
  4. Step 4: Simplify right side
    12,438.86x = 141,398,524.73
  5. Step 5: Solve for x
    x = 141,398,524.73/12,438.86
  6. Step 6: Final answer
    x = 11,367.48

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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.