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Finding the Fourth Proportional to 16,198.72, 24,308.32 and 9,286.72

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Solution

The fourth proportional to 16,198.72, 24,308.32 and 9,286.72 is: 13,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.72 : 24,308.32 = 9,286.72 : x
  2. Step 2: Convert to fraction form
    16,198.72/24,308.32 = 9,286.72/x
  3. Step 3: Cross multiply
    16,198.72x = 24,308.32 × 9,286.72
  4. Step 4: Simplify right side
    16,198.72x = 225,744,561.51
  5. Step 5: Solve for x
    x = 225,744,561.51/16,198.72
  6. Step 6: Final answer
    x = 13,935.95

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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.