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Finding the Fourth Proportional to 22,958.82, 34,442.04 and 8,164.62

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Solution

The fourth proportional to 22,958.82, 34,442.04 and 8,164.62 is: 12,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958.82 : 34,442.04 = 8,164.62 : x
  2. Step 2: Convert to fraction form
    22,958.82/34,442.04 = 8,164.62/x
  3. Step 3: Cross multiply
    22,958.82x = 34,442.04 × 8,164.62
  4. Step 4: Simplify right side
    22,958.82x = 281,206,168.62
  5. Step 5: Solve for x
    x = 281,206,168.62/22,958.82
  6. Step 6: Final answer
    x = 12,248.28

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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.