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Finding the Fourth Proportional to 26,847.97, 40,271.99 and 10,204.09

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Solution

The fourth proportional to 26,847.97, 40,271.99 and 10,204.09 is: 15,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,847.97 : 40,271.99 = 10,204.09 : x
  2. Step 2: Convert to fraction form
    26,847.97/40,271.99 = 10,204.09/x
  3. Step 3: Cross multiply
    26,847.97x = 40,271.99 × 10,204.09
  4. Step 4: Simplify right side
    26,847.97x = 410,938,959.42
  5. Step 5: Solve for x
    x = 410,938,959.42/26,847.97
  6. Step 6: Final answer
    x = 15,306.15

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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.