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Finding the Fourth Proportional to 22,957.43, 34,436.08 and 8,166.92

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Solution

The fourth proportional to 22,957.43, 34,436.08 and 8,166.92 is: 12,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.43 : 34,436.08 = 8,166.92 : x
  2. Step 2: Convert to fraction form
    22,957.43/34,436.08 = 8,166.92/x
  3. Step 3: Cross multiply
    22,957.43x = 34,436.08 × 8,166.92
  4. Step 4: Simplify right side
    22,957.43x = 281,236,776.15
  5. Step 5: Solve for x
    x = 281,236,776.15/22,957.43
  6. Step 6: Final answer
    x = 12,250.36

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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.