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Finding the Fourth Proportional to 22,287.16, 33,431.50 and 8,250.70

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Solution

The fourth proportional to 22,287.16, 33,431.50 and 8,250.70 is: 12,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.16 : 33,431.50 = 8,250.70 : x
  2. Step 2: Convert to fraction form
    22,287.16/33,431.50 = 8,250.70/x
  3. Step 3: Cross multiply
    22,287.16x = 33,431.50 × 8,250.70
  4. Step 4: Simplify right side
    22,287.16x = 275,833,277.05
  5. Step 5: Solve for x
    x = 275,833,277.05/22,287.16
  6. Step 6: Final answer
    x = 12,376.33

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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.