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Finding the Fourth Proportional to 15,765.50, 21,755.82 and 8,691.50

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Solution

The fourth proportional to 15,765.50, 21,755.82 and 8,691.50 is: 11,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.50 : 21,755.82 = 8,691.50 : x
  2. Step 2: Convert to fraction form
    15,765.50/21,755.82 = 8,691.50/x
  3. Step 3: Cross multiply
    15,765.50x = 21,755.82 × 8,691.50
  4. Step 4: Simplify right side
    15,765.50x = 189,090,709.53
  5. Step 5: Solve for x
    x = 189,090,709.53/15,765.50
  6. Step 6: Final answer
    x = 11,993.96

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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.