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Finding the Fourth Proportional to 27,817.59, 41,713.90 and 16,578.23

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Solution

The fourth proportional to 27,817.59, 41,713.90 and 16,578.23 is: 24,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.59 : 41,713.90 = 16,578.23 : x
  2. Step 2: Convert to fraction form
    27,817.59/41,713.90 = 16,578.23/x
  3. Step 3: Cross multiply
    27,817.59x = 41,713.90 × 16,578.23
  4. Step 4: Simplify right side
    27,817.59x = 691,542,628.40
  5. Step 5: Solve for x
    x = 691,542,628.40/27,817.59
  6. Step 6: Final answer
    x = 24,859.90

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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.