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Finding the Fourth Proportional to 22,101.08, 33,150.52 and 8,249

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Solution

The fourth proportional to 22,101.08, 33,150.52 and 8,249 is: 12,373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,101.08 : 33,150.52 = 8,249 : x
  2. Step 2: Convert to fraction form
    22,101.08/33,150.52 = 8,249/x
  3. Step 3: Cross multiply
    22,101.08x = 33,150.52 × 8,249
  4. Step 4: Simplify right side
    22,101.08x = 273,458,639.48
  5. Step 5: Solve for x
    x = 273,458,639.48/22,101.08
  6. Step 6: Final answer
    x = 12,373.09

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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.