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Finding the Fourth Proportional to 19,849.72, 29,735.65 and 11,512.22

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Solution

The fourth proportional to 19,849.72, 29,735.65 and 11,512.22 is: 17,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,849.72 : 29,735.65 = 11,512.22 : x
  2. Step 2: Convert to fraction form
    19,849.72/29,735.65 = 11,512.22/x
  3. Step 3: Cross multiply
    19,849.72x = 29,735.65 × 11,512.22
  4. Step 4: Simplify right side
    19,849.72x = 342,323,390.20
  5. Step 5: Solve for x
    x = 342,323,390.20/19,849.72
  6. Step 6: Final answer
    x = 17,245.76

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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.