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Finding the Fourth Proportional to 22,966.38, 31,695.44 and 12,895.49

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Solution

The fourth proportional to 22,966.38, 31,695.44 and 12,895.49 is: 17,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.38 : 31,695.44 = 12,895.49 : x
  2. Step 2: Convert to fraction form
    22,966.38/31,695.44 = 12,895.49/x
  3. Step 3: Cross multiply
    22,966.38x = 31,695.44 × 12,895.49
  4. Step 4: Simplify right side
    22,966.38x = 408,728,244.33
  5. Step 5: Solve for x
    x = 408,728,244.33/22,966.38
  6. Step 6: Final answer
    x = 17,796.81

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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.