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Finding the Fourth Proportional to 16,682.64, 25,024 and 6,691.92

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Solution

The fourth proportional to 16,682.64, 25,024 and 6,691.92 is: 10,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,682.64 : 25,024 = 6,691.92 : x
  2. Step 2: Convert to fraction form
    16,682.64/25,024 = 6,691.92/x
  3. Step 3: Cross multiply
    16,682.64x = 25,024 × 6,691.92
  4. Step 4: Simplify right side
    16,682.64x = 167,458,606.08
  5. Step 5: Solve for x
    x = 167,458,606.08/16,682.64
  6. Step 6: Final answer
    x = 10,037.90

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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.