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Finding the Fourth Proportional to 21,203.44, 29,261.66 and 11,772

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Solution

The fourth proportional to 21,203.44, 29,261.66 and 11,772 is: 16,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,203.44 : 29,261.66 = 11,772 : x
  2. Step 2: Convert to fraction form
    21,203.44/29,261.66 = 11,772/x
  3. Step 3: Cross multiply
    21,203.44x = 29,261.66 × 11,772
  4. Step 4: Simplify right side
    21,203.44x = 344,468,202.66
  5. Step 5: Solve for x
    x = 344,468,202.66/21,203.44
  6. Step 6: Final answer
    x = 16,245.87

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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.