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Finding the Fourth Proportional to 12,452.12, 18,681.42 and 4,661

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Solution

The fourth proportional to 12,452.12, 18,681.42 and 4,661 is: 6,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.12 : 18,681.42 = 4,661 : x
  2. Step 2: Convert to fraction form
    12,452.12/18,681.42 = 4,661/x
  3. Step 3: Cross multiply
    12,452.12x = 18,681.42 × 4,661
  4. Step 4: Simplify right side
    12,452.12x = 87,074,098.62
  5. Step 5: Solve for x
    x = 87,074,098.62/12,452.12
  6. Step 6: Final answer
    x = 6,992.71

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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.