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Finding the Fourth Proportional to 27,888.82, 41,833.28 and 11,874.22

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Solution

The fourth proportional to 27,888.82, 41,833.28 and 11,874.22 is: 17,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888.82 : 41,833.28 = 11,874.22 : x
  2. Step 2: Convert to fraction form
    27,888.82/41,833.28 = 11,874.22/x
  3. Step 3: Cross multiply
    27,888.82x = 41,833.28 × 11,874.22
  4. Step 4: Simplify right side
    27,888.82x = 496,737,570.04
  5. Step 5: Solve for x
    x = 496,737,570.04/27,888.82
  6. Step 6: Final answer
    x = 17,811.35

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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.