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Finding the Fourth Proportional to 22,262.64, 33,394.26 and 9,105.84

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Solution

The fourth proportional to 22,262.64, 33,394.26 and 9,105.84 is: 13,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262.64 : 33,394.26 = 9,105.84 : x
  2. Step 2: Convert to fraction form
    22,262.64/33,394.26 = 9,105.84/x
  3. Step 3: Cross multiply
    22,262.64x = 33,394.26 × 9,105.84
  4. Step 4: Simplify right side
    22,262.64x = 304,082,788.48
  5. Step 5: Solve for x
    x = 304,082,788.48/22,262.64
  6. Step 6: Final answer
    x = 13,658.88

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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.