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Finding the Fourth Proportional to 21,297.56, 31,945.17 and 6,505.31

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Solution

The fourth proportional to 21,297.56, 31,945.17 and 6,505.31 is: 9,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,297.56 : 31,945.17 = 6,505.31 : x
  2. Step 2: Convert to fraction form
    21,297.56/31,945.17 = 6,505.31/x
  3. Step 3: Cross multiply
    21,297.56x = 31,945.17 × 6,505.31
  4. Step 4: Simplify right side
    21,297.56x = 207,813,338.11
  5. Step 5: Solve for x
    x = 207,813,338.11/21,297.56
  6. Step 6: Final answer
    x = 9,757.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.