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Finding the Fourth Proportional to 22,696.77, 31,321.98 and 13,270.80

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Solution

The fourth proportional to 22,696.77, 31,321.98 and 13,270.80 is: 18,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.77 : 31,321.98 = 13,270.80 : x
  2. Step 2: Convert to fraction form
    22,696.77/31,321.98 = 13,270.80/x
  3. Step 3: Cross multiply
    22,696.77x = 31,321.98 × 13,270.80
  4. Step 4: Simplify right side
    22,696.77x = 415,667,732.18
  5. Step 5: Solve for x
    x = 415,667,732.18/22,696.77
  6. Step 6: Final answer
    x = 18,313.96

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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.