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Finding the Fourth Proportional to 16,872.64, 25,308.06 and 5,185.96

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Solution

The fourth proportional to 16,872.64, 25,308.06 and 5,185.96 is: 7,778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872.64 : 25,308.06 = 5,185.96 : x
  2. Step 2: Convert to fraction form
    16,872.64/25,308.06 = 5,185.96/x
  3. Step 3: Cross multiply
    16,872.64x = 25,308.06 × 5,185.96
  4. Step 4: Simplify right side
    16,872.64x = 131,246,586.84
  5. Step 5: Solve for x
    x = 131,246,586.84/16,872.64
  6. Step 6: Final answer
    x = 7,778.66

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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.