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Finding the Fourth Proportional to 19,949.32, 29,924.07 and 5,157.19

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Solution

The fourth proportional to 19,949.32, 29,924.07 and 5,157.19 is: 7,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,949.32 : 29,924.07 = 5,157.19 : x
  2. Step 2: Convert to fraction form
    19,949.32/29,924.07 = 5,157.19/x
  3. Step 3: Cross multiply
    19,949.32x = 29,924.07 × 5,157.19
  4. Step 4: Simplify right side
    19,949.32x = 154,324,114.56
  5. Step 5: Solve for x
    x = 154,324,114.56/19,949.32
  6. Step 6: Final answer
    x = 7,735.81

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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.