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Finding the Fourth Proportional to 12,086.63, 16,679.50 and 6,781.33

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Solution

The fourth proportional to 12,086.63, 16,679.50 and 6,781.33 is: 9,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.63 : 16,679.50 = 6,781.33 : x
  2. Step 2: Convert to fraction form
    12,086.63/16,679.50 = 6,781.33/x
  3. Step 3: Cross multiply
    12,086.63x = 16,679.50 × 6,781.33
  4. Step 4: Simplify right side
    12,086.63x = 113,109,197.63
  5. Step 5: Solve for x
    x = 113,109,197.63/12,086.63
  6. Step 6: Final answer
    x = 9,358.21

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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.