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Finding the Fourth Proportional to 17,832.72, 24,634.78 and 14,242.97

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Solution

The fourth proportional to 17,832.72, 24,634.78 and 14,242.97 is: 19,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.72 : 24,634.78 = 14,242.97 : x
  2. Step 2: Convert to fraction form
    17,832.72/24,634.78 = 14,242.97/x
  3. Step 3: Cross multiply
    17,832.72x = 24,634.78 × 14,242.97
  4. Step 4: Simplify right side
    17,832.72x = 350,872,273.72
  5. Step 5: Solve for x
    x = 350,872,273.72/17,832.72
  6. Step 6: Final answer
    x = 19,675.76

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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.