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Finding the Fourth Proportional to 22,952.96, 34,446.04 and 8,162

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Solution

The fourth proportional to 22,952.96, 34,446.04 and 8,162 is: 12,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.96 : 34,446.04 = 8,162 : x
  2. Step 2: Convert to fraction form
    22,952.96/34,446.04 = 8,162/x
  3. Step 3: Cross multiply
    22,952.96x = 34,446.04 × 8,162
  4. Step 4: Simplify right side
    22,952.96x = 281,148,578.48
  5. Step 5: Solve for x
    x = 281,148,578.48/22,952.96
  6. Step 6: Final answer
    x = 12,248.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.