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Finding the Fourth Proportional to 21,093.89, 31,698.32 and 11,240.21

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Solution

The fourth proportional to 21,093.89, 31,698.32 and 11,240.21 is: 16,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,093.89 : 31,698.32 = 11,240.21 : x
  2. Step 2: Convert to fraction form
    21,093.89/31,698.32 = 11,240.21/x
  3. Step 3: Cross multiply
    21,093.89x = 31,698.32 × 11,240.21
  4. Step 4: Simplify right side
    21,093.89x = 356,295,717.25
  5. Step 5: Solve for x
    x = 356,295,717.25/21,093.89
  6. Step 6: Final answer
    x = 16,890.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.