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Finding the Fourth Proportional to 11,566.37, 17,350.41 and 10,189.24

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Solution

The fourth proportional to 11,566.37, 17,350.41 and 10,189.24 is: 15,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.37 : 17,350.41 = 10,189.24 : x
  2. Step 2: Convert to fraction form
    11,566.37/17,350.41 = 10,189.24/x
  3. Step 3: Cross multiply
    11,566.37x = 17,350.41 × 10,189.24
  4. Step 4: Simplify right side
    11,566.37x = 176,787,491.59
  5. Step 5: Solve for x
    x = 176,787,491.59/11,566.37
  6. Step 6: Final answer
    x = 15,284.61

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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.