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Finding the Fourth Proportional to 19,872, 29,782.44 and 15,174.72

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Solution

The fourth proportional to 19,872, 29,782.44 and 15,174.72 is: 22,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872 : 29,782.44 = 15,174.72 : x
  2. Step 2: Convert to fraction form
    19,872/29,782.44 = 15,174.72/x
  3. Step 3: Cross multiply
    19,872x = 29,782.44 × 15,174.72
  4. Step 4: Simplify right side
    19,872x = 451,940,187.92
  5. Step 5: Solve for x
    x = 451,940,187.92/19,872
  6. Step 6: Final answer
    x = 22,742.56

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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.