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Finding the Fourth Proportional to 22,696.27, 31,321.29 and 13,270.30

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Solution

The fourth proportional to 22,696.27, 31,321.29 and 13,270.30 is: 18,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.27 : 31,321.29 = 13,270.30 : x
  2. Step 2: Convert to fraction form
    22,696.27/31,321.29 = 13,270.30/x
  3. Step 3: Cross multiply
    22,696.27x = 31,321.29 × 13,270.30
  4. Step 4: Simplify right side
    22,696.27x = 415,642,914.69
  5. Step 5: Solve for x
    x = 415,642,914.69/22,696.27
  6. Step 6: Final answer
    x = 18,313.27

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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.