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Finding the Fourth Proportional to 27,876.86, 41,803.49 and 11,232.42

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Solution

The fourth proportional to 27,876.86, 41,803.49 and 11,232.42 is: 16,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.86 : 41,803.49 = 11,232.42 : x
  2. Step 2: Convert to fraction form
    27,876.86/41,803.49 = 11,232.42/x
  3. Step 3: Cross multiply
    27,876.86x = 41,803.49 × 11,232.42
  4. Step 4: Simplify right side
    27,876.86x = 469,554,228.46
  5. Step 5: Solve for x
    x = 469,554,228.46/27,876.86
  6. Step 6: Final answer
    x = 16,843.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.