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Finding the Fourth Proportional to 27,382.95, 41,080.55 and 9,852.75

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Solution

The fourth proportional to 27,382.95, 41,080.55 and 9,852.75 is: 14,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.95 : 41,080.55 = 9,852.75 : x
  2. Step 2: Convert to fraction form
    27,382.95/41,080.55 = 9,852.75/x
  3. Step 3: Cross multiply
    27,382.95x = 41,080.55 × 9,852.75
  4. Step 4: Simplify right side
    27,382.95x = 404,756,339.75
  5. Step 5: Solve for x
    x = 404,756,339.75/27,382.95
  6. Step 6: Final answer
    x = 14,781.33

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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.