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Finding the Fourth Proportional to 20,978, 31,467 and 7,127.12

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Solution

The fourth proportional to 20,978, 31,467 and 7,127.12 is: 10,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978 : 31,467 = 7,127.12 : x
  2. Step 2: Convert to fraction form
    20,978/31,467 = 7,127.12/x
  3. Step 3: Cross multiply
    20,978x = 31,467 × 7,127.12
  4. Step 4: Simplify right side
    20,978x = 224,269,085.04
  5. Step 5: Solve for x
    x = 224,269,085.04/20,978
  6. Step 6: Final answer
    x = 10,690.68

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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.