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Finding the Fourth Proportional to 15,542.83, 21,449.11 and 8,469.25

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Solution

The fourth proportional to 15,542.83, 21,449.11 and 8,469.25 is: 11,687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,542.83 : 21,449.11 = 8,469.25 : x
  2. Step 2: Convert to fraction form
    15,542.83/21,449.11 = 8,469.25/x
  3. Step 3: Cross multiply
    15,542.83x = 21,449.11 × 8,469.25
  4. Step 4: Simplify right side
    15,542.83x = 181,657,874.87
  5. Step 5: Solve for x
    x = 181,657,874.87/15,542.83
  6. Step 6: Final answer
    x = 11,687.57

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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.