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Finding the Fourth Proportional to 22,297.70, 30,766.48 and 13,221.38

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Solution

The fourth proportional to 22,297.70, 30,766.48 and 13,221.38 is: 18,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.70 : 30,766.48 = 13,221.38 : x
  2. Step 2: Convert to fraction form
    22,297.70/30,766.48 = 13,221.38/x
  3. Step 3: Cross multiply
    22,297.70x = 30,766.48 × 13,221.38
  4. Step 4: Simplify right side
    22,297.70x = 406,775,136.46
  5. Step 5: Solve for x
    x = 406,775,136.46/22,297.70
  6. Step 6: Final answer
    x = 18,242.92

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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.