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Finding the Fourth Proportional to 22,176.74, 33,282.03 and 8,150.06

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Solution

The fourth proportional to 22,176.74, 33,282.03 and 8,150.06 is: 12,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,176.74 : 33,282.03 = 8,150.06 : x
  2. Step 2: Convert to fraction form
    22,176.74/33,282.03 = 8,150.06/x
  3. Step 3: Cross multiply
    22,176.74x = 33,282.03 × 8,150.06
  4. Step 4: Simplify right side
    22,176.74x = 271,250,541.42
  5. Step 5: Solve for x
    x = 271,250,541.42/22,176.74
  6. Step 6: Final answer
    x = 12,231.31

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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.