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Finding the Fourth Proportional to 22,952.39, 34,434.05 and 8,162.60

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Solution

The fourth proportional to 22,952.39, 34,434.05 and 8,162.60 is: 12,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.39 : 34,434.05 = 8,162.60 : x
  2. Step 2: Convert to fraction form
    22,952.39/34,434.05 = 8,162.60/x
  3. Step 3: Cross multiply
    22,952.39x = 34,434.05 × 8,162.60
  4. Step 4: Simplify right side
    22,952.39x = 281,071,163.55
  5. Step 5: Solve for x
    x = 281,071,163.55/22,952.39
  6. Step 6: Final answer
    x = 12,245.84

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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.