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Finding the Fourth Proportional to 21,610.90, 29,822.34 and 13,227.40

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Solution

The fourth proportional to 21,610.90, 29,822.34 and 13,227.40 is: 18,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610.90 : 29,822.34 = 13,227.40 : x
  2. Step 2: Convert to fraction form
    21,610.90/29,822.34 = 13,227.40/x
  3. Step 3: Cross multiply
    21,610.90x = 29,822.34 × 13,227.40
  4. Step 4: Simplify right side
    21,610.90x = 394,472,020.12
  5. Step 5: Solve for x
    x = 394,472,020.12/21,610.90
  6. Step 6: Final answer
    x = 18,253.38

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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.