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Finding the Fourth Proportional to 22,462.31, 33,693.56 and 5,821.16

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Solution

The fourth proportional to 22,462.31, 33,693.56 and 5,821.16 is: 8,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.31 : 33,693.56 = 5,821.16 : x
  2. Step 2: Convert to fraction form
    22,462.31/33,693.56 = 5,821.16/x
  3. Step 3: Cross multiply
    22,462.31x = 33,693.56 × 5,821.16
  4. Step 4: Simplify right side
    22,462.31x = 196,135,603.73
  5. Step 5: Solve for x
    x = 196,135,603.73/22,462.31
  6. Step 6: Final answer
    x = 8,731.76

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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.