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Finding the Fourth Proportional to 22,956.96, 34,452.04 and 8,166

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Solution

The fourth proportional to 22,956.96, 34,452.04 and 8,166 is: 12,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956.96 : 34,452.04 = 8,166 : x
  2. Step 2: Convert to fraction form
    22,956.96/34,452.04 = 8,166/x
  3. Step 3: Cross multiply
    22,956.96x = 34,452.04 × 8,166
  4. Step 4: Simplify right side
    22,956.96x = 281,335,358.64
  5. Step 5: Solve for x
    x = 281,335,358.64/22,956.96
  6. Step 6: Final answer
    x = 12,254.90

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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.