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Finding the Fourth Proportional to 21,187.64, 29,239.44 and 11,756

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Solution

The fourth proportional to 21,187.64, 29,239.44 and 11,756 is: 16,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.64 : 29,239.44 = 11,756 : x
  2. Step 2: Convert to fraction form
    21,187.64/29,239.44 = 11,756/x
  3. Step 3: Cross multiply
    21,187.64x = 29,239.44 × 11,756
  4. Step 4: Simplify right side
    21,187.64x = 343,738,856.64
  5. Step 5: Solve for x
    x = 343,738,856.64/21,187.64
  6. Step 6: Final answer
    x = 16,223.56

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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.