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Finding the Fourth Proportional to 20,294.35, 30,446.21 and 7,146.83

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Solution

The fourth proportional to 20,294.35, 30,446.21 and 7,146.83 is: 10,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294.35 : 30,446.21 = 7,146.83 : x
  2. Step 2: Convert to fraction form
    20,294.35/30,446.21 = 7,146.83/x
  3. Step 3: Cross multiply
    20,294.35x = 30,446.21 × 7,146.83
  4. Step 4: Simplify right side
    20,294.35x = 217,593,981.00
  5. Step 5: Solve for x
    x = 217,593,981.00/20,294.35
  6. Step 6: Final answer
    x = 10,721.90

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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.