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Finding the Fourth Proportional to 27,833.80, 41,755.52 and 12,251

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Solution

The fourth proportional to 27,833.80, 41,755.52 and 12,251 is: 18,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.80 : 41,755.52 = 12,251 : x
  2. Step 2: Convert to fraction form
    27,833.80/41,755.52 = 12,251/x
  3. Step 3: Cross multiply
    27,833.80x = 41,755.52 × 12,251
  4. Step 4: Simplify right side
    27,833.80x = 511,546,875.52
  5. Step 5: Solve for x
    x = 511,546,875.52/27,833.80
  6. Step 6: Final answer
    x = 18,378.62

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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.