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Finding the Fourth Proportional to 21,185.64, 29,236.68 and 11,754

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Solution

The fourth proportional to 21,185.64, 29,236.68 and 11,754 is: 16,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,185.64 : 29,236.68 = 11,754 : x
  2. Step 2: Convert to fraction form
    21,185.64/29,236.68 = 11,754/x
  3. Step 3: Cross multiply
    21,185.64x = 29,236.68 × 11,754
  4. Step 4: Simplify right side
    21,185.64x = 343,647,936.72
  5. Step 5: Solve for x
    x = 343,647,936.72/21,185.64
  6. Step 6: Final answer
    x = 16,220.80

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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.