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Finding the Fourth Proportional to 27,165.20, 40,759.50 and 14,694

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Solution

The fourth proportional to 27,165.20, 40,759.50 and 14,694 is: 22,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,165.20 : 40,759.50 = 14,694 : x
  2. Step 2: Convert to fraction form
    27,165.20/40,759.50 = 14,694/x
  3. Step 3: Cross multiply
    27,165.20x = 40,759.50 × 14,694
  4. Step 4: Simplify right side
    27,165.20x = 598,920,093
  5. Step 5: Solve for x
    x = 598,920,093/27,165.20
  6. Step 6: Final answer
    x = 22,047.33

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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.