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Finding the Fourth Proportional to 13,781.25, 20,672.82 and 5,461.26

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Solution

The fourth proportional to 13,781.25, 20,672.82 and 5,461.26 is: 8,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.25 : 20,672.82 = 5,461.26 : x
  2. Step 2: Convert to fraction form
    13,781.25/20,672.82 = 5,461.26/x
  3. Step 3: Cross multiply
    13,781.25x = 20,672.82 × 5,461.26
  4. Step 4: Simplify right side
    13,781.25x = 112,899,567.43
  5. Step 5: Solve for x
    x = 112,899,567.43/13,781.25
  6. Step 6: Final answer
    x = 8,192.26

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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.