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Finding the Fourth Proportional to 26,821.30, 40,219.80 and 10,175.80

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Solution

The fourth proportional to 26,821.30, 40,219.80 and 10,175.80 is: 15,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821.30 : 40,219.80 = 10,175.80 : x
  2. Step 2: Convert to fraction form
    26,821.30/40,219.80 = 10,175.80/x
  3. Step 3: Cross multiply
    26,821.30x = 40,219.80 × 10,175.80
  4. Step 4: Simplify right side
    26,821.30x = 409,268,640.84
  5. Step 5: Solve for x
    x = 409,268,640.84/26,821.30
  6. Step 6: Final answer
    x = 15,259.09

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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.