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Finding the Fourth Proportional to 26,974.36, 40,461.48 and 9,449.20

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Solution

The fourth proportional to 26,974.36, 40,461.48 and 9,449.20 is: 14,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,974.36 : 40,461.48 = 9,449.20 : x
  2. Step 2: Convert to fraction form
    26,974.36/40,461.48 = 9,449.20/x
  3. Step 3: Cross multiply
    26,974.36x = 40,461.48 × 9,449.20
  4. Step 4: Simplify right side
    26,974.36x = 382,328,616.82
  5. Step 5: Solve for x
    x = 382,328,616.82/26,974.36
  6. Step 6: Final answer
    x = 14,173.78

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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.