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Finding the Fourth Proportional to 11,568.38, 17,353.41 and 10,191.24

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Solution

The fourth proportional to 11,568.38, 17,353.41 and 10,191.24 is: 15,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.38 : 17,353.41 = 10,191.24 : x
  2. Step 2: Convert to fraction form
    11,568.38/17,353.41 = 10,191.24/x
  3. Step 3: Cross multiply
    11,568.38x = 17,353.41 × 10,191.24
  4. Step 4: Simplify right side
    11,568.38x = 176,852,766.13
  5. Step 5: Solve for x
    x = 176,852,766.13/11,568.38
  6. Step 6: Final answer
    x = 15,287.61

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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.