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Finding the Fourth Proportional to 26,520.77, 39,781.16 and 6,799.50

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Solution

The fourth proportional to 26,520.77, 39,781.16 and 6,799.50 is: 10,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,520.77 : 39,781.16 = 6,799.50 : x
  2. Step 2: Convert to fraction form
    26,520.77/39,781.16 = 6,799.50/x
  3. Step 3: Cross multiply
    26,520.77x = 39,781.16 × 6,799.50
  4. Step 4: Simplify right side
    26,520.77x = 270,491,963.42
  5. Step 5: Solve for x
    x = 270,491,963.42/26,520.77
  6. Step 6: Final answer
    x = 10,199.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.