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Finding the Fourth Proportional to 26,781.78, 40,197.60 and 13,644

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Solution

The fourth proportional to 26,781.78, 40,197.60 and 13,644 is: 20,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,781.78 : 40,197.60 = 13,644 : x
  2. Step 2: Convert to fraction form
    26,781.78/40,197.60 = 13,644/x
  3. Step 3: Cross multiply
    26,781.78x = 40,197.60 × 13,644
  4. Step 4: Simplify right side
    26,781.78x = 548,456,054.40
  5. Step 5: Solve for x
    x = 548,456,054.40/26,781.78
  6. Step 6: Final answer
    x = 20,478.70

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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.