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Finding the Fourth Proportional to 12,838.90, 17,708.21 and 8,118.62

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Solution

The fourth proportional to 12,838.90, 17,708.21 and 8,118.62 is: 11,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.90 : 17,708.21 = 8,118.62 : x
  2. Step 2: Convert to fraction form
    12,838.90/17,708.21 = 8,118.62/x
  3. Step 3: Cross multiply
    12,838.90x = 17,708.21 × 8,118.62
  4. Step 4: Simplify right side
    12,838.90x = 143,766,227.87
  5. Step 5: Solve for x
    x = 143,766,227.87/12,838.90
  6. Step 6: Final answer
    x = 11,197.71

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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.