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Finding the Fourth Proportional to 27,514.92, 41,288.77 and 9,986.11

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Solution

The fourth proportional to 27,514.92, 41,288.77 and 9,986.11 is: 14,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,514.92 : 41,288.77 = 9,986.11 : x
  2. Step 2: Convert to fraction form
    27,514.92/41,288.77 = 9,986.11/x
  3. Step 3: Cross multiply
    27,514.92x = 41,288.77 × 9,986.11
  4. Step 4: Simplify right side
    27,514.92x = 412,314,198.98
  5. Step 5: Solve for x
    x = 412,314,198.98/27,514.92
  6. Step 6: Final answer
    x = 14,985.11

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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.