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Finding the Fourth Proportional to 22,945.84, 31,665.11 and 12,874.25

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Solution

The fourth proportional to 22,945.84, 31,665.11 and 12,874.25 is: 17,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,945.84 : 31,665.11 = 12,874.25 : x
  2. Step 2: Convert to fraction form
    22,945.84/31,665.11 = 12,874.25/x
  3. Step 3: Cross multiply
    22,945.84x = 31,665.11 × 12,874.25
  4. Step 4: Simplify right side
    22,945.84x = 407,664,687.73
  5. Step 5: Solve for x
    x = 407,664,687.73/22,945.84
  6. Step 6: Final answer
    x = 17,766.39

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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.