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Finding the Fourth Proportional to 12,451.75, 17,184.50 and 6,863.83

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Solution

The fourth proportional to 12,451.75, 17,184.50 and 6,863.83 is: 9,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.75 : 17,184.50 = 6,863.83 : x
  2. Step 2: Convert to fraction form
    12,451.75/17,184.50 = 6,863.83/x
  3. Step 3: Cross multiply
    12,451.75x = 17,184.50 × 6,863.83
  4. Step 4: Simplify right side
    12,451.75x = 117,951,486.64
  5. Step 5: Solve for x
    x = 117,951,486.64/12,451.75
  6. Step 6: Final answer
    x = 9,472.68

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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.