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Finding the Fourth Proportional to 16,548.96, 22,843.44 and 10,961.76

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Solution

The fourth proportional to 16,548.96, 22,843.44 and 10,961.76 is: 15,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548.96 : 22,843.44 = 10,961.76 : x
  2. Step 2: Convert to fraction form
    16,548.96/22,843.44 = 10,961.76/x
  3. Step 3: Cross multiply
    16,548.96x = 22,843.44 × 10,961.76
  4. Step 4: Simplify right side
    16,548.96x = 250,404,306.85
  5. Step 5: Solve for x
    x = 250,404,306.85/16,548.96
  6. Step 6: Final answer
    x = 15,131.12

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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.