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Finding the Fourth Proportional to 22,138.40, 33,199.32 and 7,344.56

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Solution

The fourth proportional to 22,138.40, 33,199.32 and 7,344.56 is: 11,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.40 : 33,199.32 = 7,344.56 : x
  2. Step 2: Convert to fraction form
    22,138.40/33,199.32 = 7,344.56/x
  3. Step 3: Cross multiply
    22,138.40x = 33,199.32 × 7,344.56
  4. Step 4: Simplify right side
    22,138.40x = 243,834,397.70
  5. Step 5: Solve for x
    x = 243,834,397.70/22,138.40
  6. Step 6: Final answer
    x = 11,014.09

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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.