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Finding the Fourth Proportional to 16,181.66, 24,278.34 and 5,653.24

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Solution

The fourth proportional to 16,181.66, 24,278.34 and 5,653.24 is: 8,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.66 : 24,278.34 = 5,653.24 : x
  2. Step 2: Convert to fraction form
    16,181.66/24,278.34 = 5,653.24/x
  3. Step 3: Cross multiply
    16,181.66x = 24,278.34 × 5,653.24
  4. Step 4: Simplify right side
    16,181.66x = 137,251,282.82
  5. Step 5: Solve for x
    x = 137,251,282.82/16,181.66
  6. Step 6: Final answer
    x = 8,481.90

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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.