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Finding the Fourth Proportional to 12,462.77, 18,694.08 and 3,102.74

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Solution

The fourth proportional to 12,462.77, 18,694.08 and 3,102.74 is: 4,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.77 : 18,694.08 = 3,102.74 : x
  2. Step 2: Convert to fraction form
    12,462.77/18,694.08 = 3,102.74/x
  3. Step 3: Cross multiply
    12,462.77x = 18,694.08 × 3,102.74
  4. Step 4: Simplify right side
    12,462.77x = 58,002,869.78
  5. Step 5: Solve for x
    x = 58,002,869.78/12,462.77
  6. Step 6: Final answer
    x = 4,654.09

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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.