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Finding the Fourth Proportional to 27,309.84, 40,965.30 and 8,589.48

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Solution

The fourth proportional to 27,309.84, 40,965.30 and 8,589.48 is: 12,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,309.84 : 40,965.30 = 8,589.48 : x
  2. Step 2: Convert to fraction form
    27,309.84/40,965.30 = 8,589.48/x
  3. Step 3: Cross multiply
    27,309.84x = 40,965.30 × 8,589.48
  4. Step 4: Simplify right side
    27,309.84x = 351,870,625.04
  5. Step 5: Solve for x
    x = 351,870,625.04/27,309.84
  6. Step 6: Final answer
    x = 12,884.39

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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.