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Finding the Fourth Proportional to 11,404.92, 17,084.22 and 9,550.80

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Solution

The fourth proportional to 11,404.92, 17,084.22 and 9,550.80 is: 14,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.92 : 17,084.22 = 9,550.80 : x
  2. Step 2: Convert to fraction form
    11,404.92/17,084.22 = 9,550.80/x
  3. Step 3: Cross multiply
    11,404.92x = 17,084.22 × 9,550.80
  4. Step 4: Simplify right side
    11,404.92x = 163,167,968.38
  5. Step 5: Solve for x
    x = 163,167,968.38/11,404.92
  6. Step 6: Final answer
    x = 14,306.81

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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.