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Finding the Fourth Proportional to 14,231.28, 19,638.84 and 7,944.24

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Solution

The fourth proportional to 14,231.28, 19,638.84 and 7,944.24 is: 10,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.28 : 19,638.84 = 7,944.24 : x
  2. Step 2: Convert to fraction form
    14,231.28/19,638.84 = 7,944.24/x
  3. Step 3: Cross multiply
    14,231.28x = 19,638.84 × 7,944.24
  4. Step 4: Simplify right side
    14,231.28x = 156,015,658.28
  5. Step 5: Solve for x
    x = 156,015,658.28/14,231.28
  6. Step 6: Final answer
    x = 10,962.87

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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.