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Finding the Fourth Proportional to 22,380.83, 33,568.51 and 9,231.49

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Solution

The fourth proportional to 22,380.83, 33,568.51 and 9,231.49 is: 13,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.83 : 33,568.51 = 9,231.49 : x
  2. Step 2: Convert to fraction form
    22,380.83/33,568.51 = 9,231.49/x
  3. Step 3: Cross multiply
    22,380.83x = 33,568.51 × 9,231.49
  4. Step 4: Simplify right side
    22,380.83x = 309,887,364.38
  5. Step 5: Solve for x
    x = 309,887,364.38/22,380.83
  6. Step 6: Final answer
    x = 13,846.11

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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.