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Finding the Fourth Proportional to 22,571.89, 31,139.37 and 13,614.42

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Solution

The fourth proportional to 22,571.89, 31,139.37 and 13,614.42 is: 18,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571.89 : 31,139.37 = 13,614.42 : x
  2. Step 2: Convert to fraction form
    22,571.89/31,139.37 = 13,614.42/x
  3. Step 3: Cross multiply
    22,571.89x = 31,139.37 × 13,614.42
  4. Step 4: Simplify right side
    22,571.89x = 423,944,461.72
  5. Step 5: Solve for x
    x = 423,944,461.72/22,571.89
  6. Step 6: Final answer
    x = 18,781.97

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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.