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Finding the Fourth Proportional to 27,409.68, 41,089.92 and 10,781.65

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Solution

The fourth proportional to 27,409.68, 41,089.92 and 10,781.65 is: 16,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.68 : 41,089.92 = 10,781.65 : x
  2. Step 2: Convert to fraction form
    27,409.68/41,089.92 = 10,781.65/x
  3. Step 3: Cross multiply
    27,409.68x = 41,089.92 × 10,781.65
  4. Step 4: Simplify right side
    27,409.68x = 443,017,135.97
  5. Step 5: Solve for x
    x = 443,017,135.97/27,409.68
  6. Step 6: Final answer
    x = 16,162.80

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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.