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Finding the Fourth Proportional to 22,438.56, 33,657.84 and 6,022.56

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Solution

The fourth proportional to 22,438.56, 33,657.84 and 6,022.56 is: 9,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.56 : 33,657.84 = 6,022.56 : x
  2. Step 2: Convert to fraction form
    22,438.56/33,657.84 = 6,022.56/x
  3. Step 3: Cross multiply
    22,438.56x = 33,657.84 × 6,022.56
  4. Step 4: Simplify right side
    22,438.56x = 202,706,360.87
  5. Step 5: Solve for x
    x = 202,706,360.87/22,438.56
  6. Step 6: Final answer
    x = 9,033.84

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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.