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Finding the Fourth Proportional to 22,424, 33,638.79 and 7,631.78

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Solution

The fourth proportional to 22,424, 33,638.79 and 7,631.78 is: 11,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424 : 33,638.79 = 7,631.78 : x
  2. Step 2: Convert to fraction form
    22,424/33,638.79 = 7,631.78/x
  3. Step 3: Cross multiply
    22,424x = 33,638.79 × 7,631.78
  4. Step 4: Simplify right side
    22,424x = 256,723,844.75
  5. Step 5: Solve for x
    x = 256,723,844.75/22,424
  6. Step 6: Final answer
    x = 11,448.62

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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.