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Finding the Fourth Proportional to 22,102.08, 33,152.02 and 8,250

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Solution

The fourth proportional to 22,102.08, 33,152.02 and 8,250 is: 12,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.08 : 33,152.02 = 8,250 : x
  2. Step 2: Convert to fraction form
    22,102.08/33,152.02 = 8,250/x
  3. Step 3: Cross multiply
    22,102.08x = 33,152.02 × 8,250
  4. Step 4: Simplify right side
    22,102.08x = 273,504,165
  5. Step 5: Solve for x
    x = 273,504,165/22,102.08
  6. Step 6: Final answer
    x = 12,374.59

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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.