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Finding the Fourth Proportional to 23,046.75, 34,574.67 and 8,251.70

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Solution

The fourth proportional to 23,046.75, 34,574.67 and 8,251.70 is: 12,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.75 : 34,574.67 = 8,251.70 : x
  2. Step 2: Convert to fraction form
    23,046.75/34,574.67 = 8,251.70/x
  3. Step 3: Cross multiply
    23,046.75x = 34,574.67 × 8,251.70
  4. Step 4: Simplify right side
    23,046.75x = 285,299,631.57
  5. Step 5: Solve for x
    x = 285,299,631.57/23,046.75
  6. Step 6: Final answer
    x = 12,379.17

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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.