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Finding the Fourth Proportional to 20,982, 31,478.40 and 7,834.46

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Solution

The fourth proportional to 20,982, 31,478.40 and 7,834.46 is: 11,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982 : 31,478.40 = 7,834.46 : x
  2. Step 2: Convert to fraction form
    20,982/31,478.40 = 7,834.46/x
  3. Step 3: Cross multiply
    20,982x = 31,478.40 × 7,834.46
  4. Step 4: Simplify right side
    20,982x = 246,616,265.66
  5. Step 5: Solve for x
    x = 246,616,265.66/20,982
  6. Step 6: Final answer
    x = 11,753.71

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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.