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Finding the Fourth Proportional to 22,236.30, 33,351.57 and 8,383.50

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Solution

The fourth proportional to 22,236.30, 33,351.57 and 8,383.50 is: 12,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,236.30 : 33,351.57 = 8,383.50 : x
  2. Step 2: Convert to fraction form
    22,236.30/33,351.57 = 8,383.50/x
  3. Step 3: Cross multiply
    22,236.30x = 33,351.57 × 8,383.50
  4. Step 4: Simplify right side
    22,236.30x = 279,602,887.10
  5. Step 5: Solve for x
    x = 279,602,887.10/22,236.30
  6. Step 6: Final answer
    x = 12,574.16

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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.