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Finding the Fourth Proportional to 11,766, 16,222.68 and 9,240.24

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Solution

The fourth proportional to 11,766, 16,222.68 and 9,240.24 is: 12,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766 : 16,222.68 = 9,240.24 : x
  2. Step 2: Convert to fraction form
    11,766/16,222.68 = 9,240.24/x
  3. Step 3: Cross multiply
    11,766x = 16,222.68 × 9,240.24
  4. Step 4: Simplify right side
    11,766x = 149,901,456.64
  5. Step 5: Solve for x
    x = 149,901,456.64/11,766
  6. Step 6: Final answer
    x = 12,740.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.