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Finding the Fourth Proportional to 11,668.33, 17,487.87 and 9,193.38

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Solution

The fourth proportional to 11,668.33, 17,487.87 and 9,193.38 is: 13,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.33 : 17,487.87 = 9,193.38 : x
  2. Step 2: Convert to fraction form
    11,668.33/17,487.87 = 9,193.38/x
  3. Step 3: Cross multiply
    11,668.33x = 17,487.87 × 9,193.38
  4. Step 4: Simplify right side
    11,668.33x = 160,772,634.30
  5. Step 5: Solve for x
    x = 160,772,634.30/11,668.33
  6. Step 6: Final answer
    x = 13,778.55

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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.