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Finding the Fourth Proportional to 16,246.39, 24,314.14 and 13,616.87

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Solution

The fourth proportional to 16,246.39, 24,314.14 and 13,616.87 is: 20,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,246.39 : 24,314.14 = 13,616.87 : x
  2. Step 2: Convert to fraction form
    16,246.39/24,314.14 = 13,616.87/x
  3. Step 3: Cross multiply
    16,246.39x = 24,314.14 × 13,616.87
  4. Step 4: Simplify right side
    16,246.39x = 331,082,361.97
  5. Step 5: Solve for x
    x = 331,082,361.97/16,246.39
  6. Step 6: Final answer
    x = 20,378.83

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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.