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Finding the Fourth Proportional to 22,957.96, 34,453.54 and 8,167

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Solution

The fourth proportional to 22,957.96, 34,453.54 and 8,167 is: 12,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.96 : 34,453.54 = 8,167 : x
  2. Step 2: Convert to fraction form
    22,957.96/34,453.54 = 8,167/x
  3. Step 3: Cross multiply
    22,957.96x = 34,453.54 × 8,167
  4. Step 4: Simplify right side
    22,957.96x = 281,382,061.18
  5. Step 5: Solve for x
    x = 281,382,061.18/22,957.96
  6. Step 6: Final answer
    x = 12,256.41

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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.