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Finding the Fourth Proportional to 27,871.74, 41,797.10 and 11,226.08

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Solution

The fourth proportional to 27,871.74, 41,797.10 and 11,226.08 is: 16,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.74 : 41,797.10 = 11,226.08 : x
  2. Step 2: Convert to fraction form
    27,871.74/41,797.10 = 11,226.08/x
  3. Step 3: Cross multiply
    27,871.74x = 41,797.10 × 11,226.08
  4. Step 4: Simplify right side
    27,871.74x = 469,217,720.93
  5. Step 5: Solve for x
    x = 469,217,720.93/27,871.74
  6. Step 6: Final answer
    x = 16,834.89

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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.