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Finding the Fourth Proportional to 21,906.14, 32,839.49 and 7,862.85

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Solution

The fourth proportional to 21,906.14, 32,839.49 and 7,862.85 is: 11,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.14 : 32,839.49 = 7,862.85 : x
  2. Step 2: Convert to fraction form
    21,906.14/32,839.49 = 7,862.85/x
  3. Step 3: Cross multiply
    21,906.14x = 32,839.49 × 7,862.85
  4. Step 4: Simplify right side
    21,906.14x = 258,211,944.63
  5. Step 5: Solve for x
    x = 258,211,944.63/21,906.14
  6. Step 6: Final answer
    x = 11,787.20

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1.5x scale

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.