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Finding the Fourth Proportional to 27,309.80, 40,932.30 and 11,514.80

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Solution

The fourth proportional to 27,309.80, 40,932.30 and 11,514.80 is: 17,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,309.80 : 40,932.30 = 11,514.80 : x
  2. Step 2: Convert to fraction form
    27,309.80/40,932.30 = 11,514.80/x
  3. Step 3: Cross multiply
    27,309.80x = 40,932.30 × 11,514.80
  4. Step 4: Simplify right side
    27,309.80x = 471,327,248.04
  5. Step 5: Solve for x
    x = 471,327,248.04/27,309.80
  6. Step 6: Final answer
    x = 17,258.54

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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.