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Finding the Fourth Proportional to 22,696.71, 31,324.22 and 13,743.98

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Solution

The fourth proportional to 22,696.71, 31,324.22 and 13,743.98 is: 18,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.71 : 31,324.22 = 13,743.98 : x
  2. Step 2: Convert to fraction form
    22,696.71/31,324.22 = 13,743.98/x
  3. Step 3: Cross multiply
    22,696.71x = 31,324.22 × 13,743.98
  4. Step 4: Simplify right side
    22,696.71x = 430,519,396.86
  5. Step 5: Solve for x
    x = 430,519,396.86/22,696.71
  6. Step 6: Final answer
    x = 18,968.36

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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.