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Finding the Fourth Proportional to 22,189.51, 33,298.81 and 8,149.65

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Solution

The fourth proportional to 22,189.51, 33,298.81 and 8,149.65 is: 12,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,189.51 : 33,298.81 = 8,149.65 : x
  2. Step 2: Convert to fraction form
    22,189.51/33,298.81 = 8,149.65/x
  3. Step 3: Cross multiply
    22,189.51x = 33,298.81 × 8,149.65
  4. Step 4: Simplify right side
    22,189.51x = 271,373,679.40
  5. Step 5: Solve for x
    x = 271,373,679.40/22,189.51
  6. Step 6: Final answer
    x = 12,229.82

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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.