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Finding the Fourth Proportional to 13,716.05, 18,928.22 and 7,428.42

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Solution

The fourth proportional to 13,716.05, 18,928.22 and 7,428.42 is: 10,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.05 : 18,928.22 = 7,428.42 : x
  2. Step 2: Convert to fraction form
    13,716.05/18,928.22 = 7,428.42/x
  3. Step 3: Cross multiply
    13,716.05x = 18,928.22 × 7,428.42
  4. Step 4: Simplify right side
    13,716.05x = 140,606,730.87
  5. Step 5: Solve for x
    x = 140,606,730.87/13,716.05
  6. Step 6: Final answer
    x = 10,251.26

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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.