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Finding the Fourth Proportional to 15,839.10, 21,857.82 and 8,765.34

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Solution

The fourth proportional to 15,839.10, 21,857.82 and 8,765.34 is: 12,096.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,839.10 : 21,857.82 = 8,765.34 : x
  2. Step 2: Convert to fraction form
    15,839.10/21,857.82 = 8,765.34/x
  3. Step 3: Cross multiply
    15,839.10x = 21,857.82 × 8,765.34
  4. Step 4: Simplify right side
    15,839.10x = 191,591,223.96
  5. Step 5: Solve for x
    x = 191,591,223.96/15,839.10
  6. Step 6: Final answer
    x = 12,096.09

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