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Finding the Fourth Proportional to 11,538.81, 17,337.74 and 11,217.69

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Solution

The fourth proportional to 11,538.81, 17,337.74 and 11,217.69 is: 16,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.81 : 17,337.74 = 11,217.69 : x
  2. Step 2: Convert to fraction form
    11,538.81/17,337.74 = 11,217.69/x
  3. Step 3: Cross multiply
    11,538.81x = 17,337.74 × 11,217.69
  4. Step 4: Simplify right side
    11,538.81x = 194,489,336.53
  5. Step 5: Solve for x
    x = 194,489,336.53/11,538.81
  6. Step 6: Final answer
    x = 16,855.23

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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.