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Finding the Fourth Proportional to 22,965.38, 31,684.29 and 12,892.42

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Solution

The fourth proportional to 22,965.38, 31,684.29 and 12,892.42 is: 17,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.38 : 31,684.29 = 12,892.42 : x
  2. Step 2: Convert to fraction form
    22,965.38/31,684.29 = 12,892.42/x
  3. Step 3: Cross multiply
    22,965.38x = 31,684.29 × 12,892.42
  4. Step 4: Simplify right side
    22,965.38x = 408,487,174.08
  5. Step 5: Solve for x
    x = 408,487,174.08/22,965.38
  6. Step 6: Final answer
    x = 17,787.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.