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Finding the Fourth Proportional to 20,723.40, 31,098.71 and 11,369.97

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Solution

The fourth proportional to 20,723.40, 31,098.71 and 11,369.97 is: 17,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,723.40 : 31,098.71 = 11,369.97 : x
  2. Step 2: Convert to fraction form
    20,723.40/31,098.71 = 11,369.97/x
  3. Step 3: Cross multiply
    20,723.40x = 31,098.71 × 11,369.97
  4. Step 4: Simplify right side
    20,723.40x = 353,591,428.16
  5. Step 5: Solve for x
    x = 353,591,428.16/20,723.40
  6. Step 6: Final answer
    x = 17,062.42

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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.