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Finding the Fourth Proportional to 22,186.72, 33,270.36 and 8,326

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Solution

The fourth proportional to 22,186.72, 33,270.36 and 8,326 is: 12,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,186.72 : 33,270.36 = 8,326 : x
  2. Step 2: Convert to fraction form
    22,186.72/33,270.36 = 8,326/x
  3. Step 3: Cross multiply
    22,186.72x = 33,270.36 × 8,326
  4. Step 4: Simplify right side
    22,186.72x = 277,009,017.36
  5. Step 5: Solve for x
    x = 277,009,017.36/22,186.72
  6. Step 6: Final answer
    x = 12,485.35

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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.