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Finding the Fourth Proportional to 22,952.36, 34,431.68 and 8,157.71

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Solution

The fourth proportional to 22,952.36, 34,431.68 and 8,157.71 is: 12,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.36 : 34,431.68 = 8,157.71 : x
  2. Step 2: Convert to fraction form
    22,952.36/34,431.68 = 8,157.71/x
  3. Step 3: Cross multiply
    22,952.36x = 34,431.68 × 8,157.71
  4. Step 4: Simplify right side
    22,952.36x = 280,883,766.73
  5. Step 5: Solve for x
    x = 280,883,766.73/22,952.36
  6. Step 6: Final answer
    x = 12,237.68

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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.