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Finding the Fourth Proportional to 22,292.50, 33,441.54 and 8,250.16

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Solution

The fourth proportional to 22,292.50, 33,441.54 and 8,250.16 is: 12,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292.50 : 33,441.54 = 8,250.16 : x
  2. Step 2: Convert to fraction form
    22,292.50/33,441.54 = 8,250.16/x
  3. Step 3: Cross multiply
    22,292.50x = 33,441.54 × 8,250.16
  4. Step 4: Simplify right side
    22,292.50x = 275,898,055.65
  5. Step 5: Solve for x
    x = 275,898,055.65/22,292.50
  6. Step 6: Final answer
    x = 12,376.27

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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.