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Finding the Fourth Proportional to 11,961.76, 16,515 and 11,218.24

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Solution

The fourth proportional to 11,961.76, 16,515 and 11,218.24 is: 15,488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.76 : 16,515 = 11,218.24 : x
  2. Step 2: Convert to fraction form
    11,961.76/16,515 = 11,218.24/x
  3. Step 3: Cross multiply
    11,961.76x = 16,515 × 11,218.24
  4. Step 4: Simplify right side
    11,961.76x = 185,269,233.60
  5. Step 5: Solve for x
    x = 185,269,233.60/11,961.76
  6. Step 6: Final answer
    x = 15,488.46

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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.