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Finding the Fourth Proportional to 22,156.08, 33,231.92 and 8,306.16

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Solution

The fourth proportional to 22,156.08, 33,231.92 and 8,306.16 is: 12,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156.08 : 33,231.92 = 8,306.16 : x
  2. Step 2: Convert to fraction form
    22,156.08/33,231.92 = 8,306.16/x
  3. Step 3: Cross multiply
    22,156.08x = 33,231.92 × 8,306.16
  4. Step 4: Simplify right side
    22,156.08x = 276,029,644.63
  5. Step 5: Solve for x
    x = 276,029,644.63/22,156.08
  6. Step 6: Final answer
    x = 12,458.42

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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.