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Finding the Fourth Proportional to 13,813.64, 20,716.98 and 3,952.97

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Solution

The fourth proportional to 13,813.64, 20,716.98 and 3,952.97 is: 5,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.64 : 20,716.98 = 3,952.97 : x
  2. Step 2: Convert to fraction form
    13,813.64/20,716.98 = 3,952.97/x
  3. Step 3: Cross multiply
    13,813.64x = 20,716.98 × 3,952.97
  4. Step 4: Simplify right side
    13,813.64x = 81,893,600.43
  5. Step 5: Solve for x
    x = 81,893,600.43/13,813.64
  6. Step 6: Final answer
    x = 5,928.46

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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.