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Finding the Fourth Proportional to 22,412.75, 33,599.07 and 9,256.73

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Solution

The fourth proportional to 22,412.75, 33,599.07 and 9,256.73 is: 13,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412.75 : 33,599.07 = 9,256.73 : x
  2. Step 2: Convert to fraction form
    22,412.75/33,599.07 = 9,256.73/x
  3. Step 3: Cross multiply
    22,412.75x = 33,599.07 × 9,256.73
  4. Step 4: Simplify right side
    22,412.75x = 311,017,351.25
  5. Step 5: Solve for x
    x = 311,017,351.25/22,412.75
  6. Step 6: Final answer
    x = 13,876.81

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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.