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Finding the Fourth Proportional to 22,095, 33,144.12 and 8,244

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Solution

The fourth proportional to 22,095, 33,144.12 and 8,244 is: 12,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,095 : 33,144.12 = 8,244 : x
  2. Step 2: Convert to fraction form
    22,095/33,144.12 = 8,244/x
  3. Step 3: Cross multiply
    22,095x = 33,144.12 × 8,244
  4. Step 4: Simplify right side
    22,095x = 273,240,125.28
  5. Step 5: Solve for x
    x = 273,240,125.28/22,095
  6. Step 6: Final answer
    x = 12,366.60

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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.