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Finding the Fourth Proportional to 22,138.33, 33,211.45 and 7,348.12

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Solution

The fourth proportional to 22,138.33, 33,211.45 and 7,348.12 is: 11,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.33 : 33,211.45 = 7,348.12 : x
  2. Step 2: Convert to fraction form
    22,138.33/33,211.45 = 7,348.12/x
  3. Step 3: Cross multiply
    22,138.33x = 33,211.45 × 7,348.12
  4. Step 4: Simplify right side
    22,138.33x = 244,041,766.26
  5. Step 5: Solve for x
    x = 244,041,766.26/22,138.33
  6. Step 6: Final answer
    x = 11,023.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.