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Finding the Fourth Proportional to 22,383.68, 33,546.32 and 9,222.80

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Solution

The fourth proportional to 22,383.68, 33,546.32 and 9,222.80 is: 13,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383.68 : 33,546.32 = 9,222.80 : x
  2. Step 2: Convert to fraction form
    22,383.68/33,546.32 = 9,222.80/x
  3. Step 3: Cross multiply
    22,383.68x = 33,546.32 × 9,222.80
  4. Step 4: Simplify right side
    22,383.68x = 309,391,000.10
  5. Step 5: Solve for x
    x = 309,391,000.10/22,383.68
  6. Step 6: Final answer
    x = 13,822.17

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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.