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Finding the Fourth Proportional to 19,963, 29,944.38 and 5,171.88

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Solution

The fourth proportional to 19,963, 29,944.38 and 5,171.88 is: 7,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,963 : 29,944.38 = 5,171.88 : x
  2. Step 2: Convert to fraction form
    19,963/29,944.38 = 5,171.88/x
  3. Step 3: Cross multiply
    19,963x = 29,944.38 × 5,171.88
  4. Step 4: Simplify right side
    19,963x = 154,868,740.03
  5. Step 5: Solve for x
    x = 154,868,740.03/19,963
  6. Step 6: Final answer
    x = 7,757.79

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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.