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Finding the Fourth Proportional to 21,141.97, 31,676.34 and 11,131.90

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Solution

The fourth proportional to 21,141.97, 31,676.34 and 11,131.90 is: 16,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141.97 : 31,676.34 = 11,131.90 : x
  2. Step 2: Convert to fraction form
    21,141.97/31,676.34 = 11,131.90/x
  3. Step 3: Cross multiply
    21,141.97x = 31,676.34 × 11,131.90
  4. Step 4: Simplify right side
    21,141.97x = 352,617,849.25
  5. Step 5: Solve for x
    x = 352,617,849.25/21,141.97
  6. Step 6: Final answer
    x = 16,678.57

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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.