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Finding the Fourth Proportional to 22,626.62, 33,944.49 and 7,835.21

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Solution

The fourth proportional to 22,626.62, 33,944.49 and 7,835.21 is: 11,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.62 : 33,944.49 = 7,835.21 : x
  2. Step 2: Convert to fraction form
    22,626.62/33,944.49 = 7,835.21/x
  3. Step 3: Cross multiply
    22,626.62x = 33,944.49 × 7,835.21
  4. Step 4: Simplify right side
    22,626.62x = 265,962,292.35
  5. Step 5: Solve for x
    x = 265,962,292.35/22,626.62
  6. Step 6: Final answer
    x = 11,754.40

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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.