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Finding the Fourth Proportional to 27,231.80, 40,826.10 and 14,919.80

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Solution

The fourth proportional to 27,231.80, 40,826.10 and 14,919.80 is: 22,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231.80 : 40,826.10 = 14,919.80 : x
  2. Step 2: Convert to fraction form
    27,231.80/40,826.10 = 14,919.80/x
  3. Step 3: Cross multiply
    27,231.80x = 40,826.10 × 14,919.80
  4. Step 4: Simplify right side
    27,231.80x = 609,117,246.78
  5. Step 5: Solve for x
    x = 609,117,246.78/27,231.80
  6. Step 6: Final answer
    x = 22,367.87

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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.