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Finding the Fourth Proportional to 26,847.78, 40,274.10 and 9,078

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Solution

The fourth proportional to 26,847.78, 40,274.10 and 9,078 is: 13,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,847.78 : 40,274.10 = 9,078 : x
  2. Step 2: Convert to fraction form
    26,847.78/40,274.10 = 9,078/x
  3. Step 3: Cross multiply
    26,847.78x = 40,274.10 × 9,078
  4. Step 4: Simplify right side
    26,847.78x = 365,608,279.80
  5. Step 5: Solve for x
    x = 365,608,279.80/26,847.78
  6. Step 6: Final answer
    x = 13,617.82

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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.