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Finding the Fourth Proportional to 22,983.75, 34,474.50 and 7,188.65

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Solution

The fourth proportional to 22,983.75, 34,474.50 and 7,188.65 is: 10,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.75 : 34,474.50 = 7,188.65 : x
  2. Step 2: Convert to fraction form
    22,983.75/34,474.50 = 7,188.65/x
  3. Step 3: Cross multiply
    22,983.75x = 34,474.50 × 7,188.65
  4. Step 4: Simplify right side
    22,983.75x = 247,824,942.05
  5. Step 5: Solve for x
    x = 247,824,942.05/22,983.75
  6. Step 6: Final answer
    x = 10,782.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.