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Finding the Fourth Proportional to 22,149.53, 33,178.16 and 11,022.48

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Solution

The fourth proportional to 22,149.53, 33,178.16 and 11,022.48 is: 16,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,149.53 : 33,178.16 = 11,022.48 : x
  2. Step 2: Convert to fraction form
    22,149.53/33,178.16 = 11,022.48/x
  3. Step 3: Cross multiply
    22,149.53x = 33,178.16 × 11,022.48
  4. Step 4: Simplify right side
    22,149.53x = 365,705,570.59
  5. Step 5: Solve for x
    x = 365,705,570.59/22,149.53
  6. Step 6: Final answer
    x = 16,510.76

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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.