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Finding the Fourth Proportional to 22,380.25, 33,578.34 and 9,898.69

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Solution

The fourth proportional to 22,380.25, 33,578.34 and 9,898.69 is: 14,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.25 : 33,578.34 = 9,898.69 : x
  2. Step 2: Convert to fraction form
    22,380.25/33,578.34 = 9,898.69/x
  3. Step 3: Cross multiply
    22,380.25x = 33,578.34 × 9,898.69
  4. Step 4: Simplify right side
    22,380.25x = 332,381,578.37
  5. Step 5: Solve for x
    x = 332,381,578.37/22,380.25
  6. Step 6: Final answer
    x = 14,851.56

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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.