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Finding the Fourth Proportional to 22,687.38, 31,306.77 and 12,615.84

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Solution

The fourth proportional to 22,687.38, 31,306.77 and 12,615.84 is: 17,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,687.38 : 31,306.77 = 12,615.84 : x
  2. Step 2: Convert to fraction form
    22,687.38/31,306.77 = 12,615.84/x
  3. Step 3: Cross multiply
    22,687.38x = 31,306.77 × 12,615.84
  4. Step 4: Simplify right side
    22,687.38x = 394,961,201.24
  5. Step 5: Solve for x
    x = 394,961,201.24/22,687.38
  6. Step 6: Final answer
    x = 17,408.85

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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.