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Finding the Fourth Proportional to 22,644.29, 31,252.82 and 13,211.03

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Solution

The fourth proportional to 22,644.29, 31,252.82 and 13,211.03 is: 18,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.29 : 31,252.82 = 13,211.03 : x
  2. Step 2: Convert to fraction form
    22,644.29/31,252.82 = 13,211.03/x
  3. Step 3: Cross multiply
    22,644.29x = 31,252.82 × 13,211.03
  4. Step 4: Simplify right side
    22,644.29x = 412,881,954.68
  5. Step 5: Solve for x
    x = 412,881,954.68/22,644.29
  6. Step 6: Final answer
    x = 18,233.38

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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.