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Finding the Fourth Proportional to 23,834.67, 35,752.02 and 8,252.30

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Solution

The fourth proportional to 23,834.67, 35,752.02 and 8,252.30 is: 12,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.67 : 35,752.02 = 8,252.30 : x
  2. Step 2: Convert to fraction form
    23,834.67/35,752.02 = 8,252.30/x
  3. Step 3: Cross multiply
    23,834.67x = 35,752.02 × 8,252.30
  4. Step 4: Simplify right side
    23,834.67x = 295,036,251.97
  5. Step 5: Solve for x
    x = 295,036,251.97/23,834.67
  6. Step 6: Final answer
    x = 12,378.45

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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.