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Finding the Fourth Proportional to 23,182.80, 34,776.36 and 8,395.44

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Solution

The fourth proportional to 23,182.80, 34,776.36 and 8,395.44 is: 12,593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.80 : 34,776.36 = 8,395.44 : x
  2. Step 2: Convert to fraction form
    23,182.80/34,776.36 = 8,395.44/x
  3. Step 3: Cross multiply
    23,182.80x = 34,776.36 × 8,395.44
  4. Step 4: Simplify right side
    23,182.80x = 291,962,843.80
  5. Step 5: Solve for x
    x = 291,962,843.80/23,182.80
  6. Step 6: Final answer
    x = 12,593.94

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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.