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Finding the Fourth Proportional to 12,494.27, 17,241.50 and 7,461.83

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Solution

The fourth proportional to 12,494.27, 17,241.50 and 7,461.83 is: 10,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.27 : 17,241.50 = 7,461.83 : x
  2. Step 2: Convert to fraction form
    12,494.27/17,241.50 = 7,461.83/x
  3. Step 3: Cross multiply
    12,494.27x = 17,241.50 × 7,461.83
  4. Step 4: Simplify right side
    12,494.27x = 128,653,074.39
  5. Step 5: Solve for x
    x = 128,653,074.39/12,494.27
  6. Step 6: Final answer
    x = 10,296.97

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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.