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Finding the Fourth Proportional to 12,658.14, 18,982.80 and 3,771

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Solution

The fourth proportional to 12,658.14, 18,982.80 and 3,771 is: 5,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.14 : 18,982.80 = 3,771 : x
  2. Step 2: Convert to fraction form
    12,658.14/18,982.80 = 3,771/x
  3. Step 3: Cross multiply
    12,658.14x = 18,982.80 × 3,771
  4. Step 4: Simplify right side
    12,658.14x = 71,584,138.80
  5. Step 5: Solve for x
    x = 71,584,138.80/12,658.14
  6. Step 6: Final answer
    x = 5,655.19

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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.