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Finding the Fourth Proportional to 22,658.98, 31,257.12 and 13,709.38

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Solution

The fourth proportional to 22,658.98, 31,257.12 and 13,709.38 is: 18,911.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.98 : 31,257.12 = 13,709.38 : x
  2. Step 2: Convert to fraction form
    22,658.98/31,257.12 = 13,709.38/x
  3. Step 3: Cross multiply
    22,658.98x = 31,257.12 × 13,709.38
  4. Step 4: Simplify right side
    22,658.98x = 428,515,735.79
  5. Step 5: Solve for x
    x = 428,515,735.79/22,658.98
  6. Step 6: Final answer
    x = 18,911.52

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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.