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Finding the Fourth Proportional to 15,839.11, 21,857.70 and 8,765.38

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Solution

The fourth proportional to 15,839.11, 21,857.70 and 8,765.38 is: 12,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,839.11 : 21,857.70 = 8,765.38 : x
  2. Step 2: Convert to fraction form
    15,839.11/21,857.70 = 8,765.38/x
  3. Step 3: Cross multiply
    15,839.11x = 21,857.70 × 8,765.38
  4. Step 4: Simplify right side
    15,839.11x = 191,591,046.43
  5. Step 5: Solve for x
    x = 191,591,046.43/15,839.11
  6. Step 6: Final answer
    x = 12,096.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.