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Finding the Fourth Proportional to 22,162.25, 33,248.24 and 7,381.78

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Solution

The fourth proportional to 22,162.25, 33,248.24 and 7,381.78 is: 11,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162.25 : 33,248.24 = 7,381.78 : x
  2. Step 2: Convert to fraction form
    22,162.25/33,248.24 = 7,381.78/x
  3. Step 3: Cross multiply
    22,162.25x = 33,248.24 × 7,381.78
  4. Step 4: Simplify right side
    22,162.25x = 245,430,989.92
  5. Step 5: Solve for x
    x = 245,430,989.92/22,162.25
  6. Step 6: Final answer
    x = 11,074.28

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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.