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Finding the Fourth Proportional to 16,076.64, 24,111.72 and 6,217.32

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Solution

The fourth proportional to 16,076.64, 24,111.72 and 6,217.32 is: 9,324.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.64 : 24,111.72 = 6,217.32 : x
  2. Step 2: Convert to fraction form
    16,076.64/24,111.72 = 6,217.32/x
  3. Step 3: Cross multiply
    16,076.64x = 24,111.72 × 6,217.32
  4. Step 4: Simplify right side
    16,076.64x = 149,910,278.99
  5. Step 5: Solve for x
    x = 149,910,278.99/16,076.64
  6. Step 6: Final answer
    x = 9,324.73

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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.