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Finding the Fourth Proportional to 21,202.49, 29,257.98 and 11,770.31

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Solution

The fourth proportional to 21,202.49, 29,257.98 and 11,770.31 is: 16,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.49 : 29,257.98 = 11,770.31 : x
  2. Step 2: Convert to fraction form
    21,202.49/29,257.98 = 11,770.31/x
  3. Step 3: Cross multiply
    21,202.49x = 29,257.98 × 11,770.31
  4. Step 4: Simplify right side
    21,202.49x = 344,375,494.57
  5. Step 5: Solve for x
    x = 344,375,494.57/21,202.49
  6. Step 6: Final answer
    x = 16,242.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.