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Finding the Fourth Proportional to 26,496.30, 39,744.85 and 6,774.42

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Solution

The fourth proportional to 26,496.30, 39,744.85 and 6,774.42 is: 10,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496.30 : 39,744.85 = 6,774.42 : x
  2. Step 2: Convert to fraction form
    26,496.30/39,744.85 = 6,774.42/x
  3. Step 3: Cross multiply
    26,496.30x = 39,744.85 × 6,774.42
  4. Step 4: Simplify right side
    26,496.30x = 269,248,306.74
  5. Step 5: Solve for x
    x = 269,248,306.74/26,496.30
  6. Step 6: Final answer
    x = 10,161.73

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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.