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Finding the Fourth Proportional to 22,138.22, 33,212.86 and 6,344.57

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Solution

The fourth proportional to 22,138.22, 33,212.86 and 6,344.57 is: 9,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.22 : 33,212.86 = 6,344.57 : x
  2. Step 2: Convert to fraction form
    22,138.22/33,212.86 = 6,344.57/x
  3. Step 3: Cross multiply
    22,138.22x = 33,212.86 × 6,344.57
  4. Step 4: Simplify right side
    22,138.22x = 210,721,315.17
  5. Step 5: Solve for x
    x = 210,721,315.17/22,138.22
  6. Step 6: Final answer
    x = 9,518.44

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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.