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Finding the Fourth Proportional to 22,962.33, 31,687.92 and 13,408.79

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Solution

The fourth proportional to 22,962.33, 31,687.92 and 13,408.79 is: 18,504.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,962.33 : 31,687.92 = 13,408.79 : x
  2. Step 2: Convert to fraction form
    22,962.33/31,687.92 = 13,408.79/x
  3. Step 3: Cross multiply
    22,962.33x = 31,687.92 × 13,408.79
  4. Step 4: Simplify right side
    22,962.33x = 424,896,506.38
  5. Step 5: Solve for x
    x = 424,896,506.38/22,962.33
  6. Step 6: Final answer
    x = 18,504.07

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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.