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Finding the Fourth Proportional to 22,171.98, 33,257.16 and 6,589.20

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Solution

The fourth proportional to 22,171.98, 33,257.16 and 6,589.20 is: 9,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.98 : 33,257.16 = 6,589.20 : x
  2. Step 2: Convert to fraction form
    22,171.98/33,257.16 = 6,589.20/x
  3. Step 3: Cross multiply
    22,171.98x = 33,257.16 × 6,589.20
  4. Step 4: Simplify right side
    22,171.98x = 219,138,078.67
  5. Step 5: Solve for x
    x = 219,138,078.67/22,171.98
  6. Step 6: Final answer
    x = 9,883.56

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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.