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Finding the Fourth Proportional to 12,286.71, 18,452.28 and 11,297.72

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Solution

The fourth proportional to 12,286.71, 18,452.28 and 11,297.72 is: 16,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.71 : 18,452.28 = 11,297.72 : x
  2. Step 2: Convert to fraction form
    12,286.71/18,452.28 = 11,297.72/x
  3. Step 3: Cross multiply
    12,286.71x = 18,452.28 × 11,297.72
  4. Step 4: Simplify right side
    12,286.71x = 208,468,708.03
  5. Step 5: Solve for x
    x = 208,468,708.03/12,286.71
  6. Step 6: Final answer
    x = 16,967.01

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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.