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Finding the Fourth Proportional to 23,878.53, 35,817.39 and 8,295.75

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Solution

The fourth proportional to 23,878.53, 35,817.39 and 8,295.75 is: 12,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.53 : 35,817.39 = 8,295.75 : x
  2. Step 2: Convert to fraction form
    23,878.53/35,817.39 = 8,295.75/x
  3. Step 3: Cross multiply
    23,878.53x = 35,817.39 × 8,295.75
  4. Step 4: Simplify right side
    23,878.53x = 297,132,113.09
  5. Step 5: Solve for x
    x = 297,132,113.09/23,878.53
  6. Step 6: Final answer
    x = 12,443.48

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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.