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Finding the Fourth Proportional to 22,631.24, 33,951.72 and 6,834.96

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Solution

The fourth proportional to 22,631.24, 33,951.72 and 6,834.96 is: 10,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,631.24 : 33,951.72 = 6,834.96 : x
  2. Step 2: Convert to fraction form
    22,631.24/33,951.72 = 6,834.96/x
  3. Step 3: Cross multiply
    22,631.24x = 33,951.72 × 6,834.96
  4. Step 4: Simplify right side
    22,631.24x = 232,058,648.13
  5. Step 5: Solve for x
    x = 232,058,648.13/22,631.24
  6. Step 6: Final answer
    x = 10,253.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.