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Finding the Fourth Proportional to 12,406.89, 18,613.38 and 6,169.86

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Solution

The fourth proportional to 12,406.89, 18,613.38 and 6,169.86 is: 9,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.89 : 18,613.38 = 6,169.86 : x
  2. Step 2: Convert to fraction form
    12,406.89/18,613.38 = 6,169.86/x
  3. Step 3: Cross multiply
    12,406.89x = 18,613.38 × 6,169.86
  4. Step 4: Simplify right side
    12,406.89x = 114,841,948.73
  5. Step 5: Solve for x
    x = 114,841,948.73/12,406.89
  6. Step 6: Final answer
    x = 9,256.30

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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.