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Finding the Fourth Proportional to 13,781.96, 20,679.77 and 5,461.79

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Solution

The fourth proportional to 13,781.96, 20,679.77 and 5,461.79 is: 8,195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.96 : 20,679.77 = 5,461.79 : x
  2. Step 2: Convert to fraction form
    13,781.96/20,679.77 = 5,461.79/x
  3. Step 3: Cross multiply
    13,781.96x = 20,679.77 × 5,461.79
  4. Step 4: Simplify right side
    13,781.96x = 112,948,528.31
  5. Step 5: Solve for x
    x = 112,948,528.31/13,781.96
  6. Step 6: Final answer
    x = 8,195.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.