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Finding the Fourth Proportional to 21,297.44, 29,391.36 and 11,866

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Solution

The fourth proportional to 21,297.44, 29,391.36 and 11,866 is: 16,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,297.44 : 29,391.36 = 11,866 : x
  2. Step 2: Convert to fraction form
    21,297.44/29,391.36 = 11,866/x
  3. Step 3: Cross multiply
    21,297.44x = 29,391.36 × 11,866
  4. Step 4: Simplify right side
    21,297.44x = 348,757,877.76
  5. Step 5: Solve for x
    x = 348,757,877.76/21,297.44
  6. Step 6: Final answer
    x = 16,375.58

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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.