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Finding the Fourth Proportional to 15,524.97, 21,433.19 and 11,884.16

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Solution

The fourth proportional to 15,524.97, 21,433.19 and 11,884.16 is: 16,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524.97 : 21,433.19 = 11,884.16 : x
  2. Step 2: Convert to fraction form
    15,524.97/21,433.19 = 11,884.16/x
  3. Step 3: Cross multiply
    15,524.97x = 21,433.19 × 11,884.16
  4. Step 4: Simplify right side
    15,524.97x = 254,715,459.27
  5. Step 5: Solve for x
    x = 254,715,459.27/15,524.97
  6. Step 6: Final answer
    x = 16,406.82

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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.