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Finding the Fourth Proportional to 27,881.80, 41,822.46 and 12,299.44

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Solution

The fourth proportional to 27,881.80, 41,822.46 and 12,299.44 is: 18,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.80 : 41,822.46 = 12,299.44 : x
  2. Step 2: Convert to fraction form
    27,881.80/41,822.46 = 12,299.44/x
  3. Step 3: Cross multiply
    27,881.80x = 41,822.46 × 12,299.44
  4. Step 4: Simplify right side
    27,881.80x = 514,392,837.42
  5. Step 5: Solve for x
    x = 514,392,837.42/27,881.80
  6. Step 6: Final answer
    x = 18,449.05

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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.