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Finding the Fourth Proportional to 13,297.72, 18,337.74 and 11,286.64

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Solution

The fourth proportional to 13,297.72, 18,337.74 and 11,286.64 is: 15,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.72 : 18,337.74 = 11,286.64 : x
  2. Step 2: Convert to fraction form
    13,297.72/18,337.74 = 11,286.64/x
  3. Step 3: Cross multiply
    13,297.72x = 18,337.74 × 11,286.64
  4. Step 4: Simplify right side
    13,297.72x = 206,971,513.88
  5. Step 5: Solve for x
    x = 206,971,513.88/13,297.72
  6. Step 6: Final answer
    x = 15,564.44

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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.