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Finding the Fourth Proportional to 13,932.71, 20,896.64 and 5,496.97

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Solution

The fourth proportional to 13,932.71, 20,896.64 and 5,496.97 is: 8,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932.71 : 20,896.64 = 5,496.97 : x
  2. Step 2: Convert to fraction form
    13,932.71/20,896.64 = 5,496.97/x
  3. Step 3: Cross multiply
    13,932.71x = 20,896.64 × 5,496.97
  4. Step 4: Simplify right side
    13,932.71x = 114,868,071.21
  5. Step 5: Solve for x
    x = 114,868,071.21/13,932.71
  6. Step 6: Final answer
    x = 8,244.49

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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.