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Finding the Fourth Proportional to 20,294.35, 30,422.39 and 7,138.33

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Solution

The fourth proportional to 20,294.35, 30,422.39 and 7,138.33 is: 10,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294.35 : 30,422.39 = 7,138.33 : x
  2. Step 2: Convert to fraction form
    20,294.35/30,422.39 = 7,138.33/x
  3. Step 3: Cross multiply
    20,294.35x = 30,422.39 × 7,138.33
  4. Step 4: Simplify right side
    20,294.35x = 217,164,947.46
  5. Step 5: Solve for x
    x = 217,164,947.46/20,294.35
  6. Step 6: Final answer
    x = 10,700.76

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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.