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Finding the Fourth Proportional to 12,339.67, 18,514.77 and 8,181.13

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Solution

The fourth proportional to 12,339.67, 18,514.77 and 8,181.13 is: 12,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339.67 : 18,514.77 = 8,181.13 : x
  2. Step 2: Convert to fraction form
    12,339.67/18,514.77 = 8,181.13/x
  3. Step 3: Cross multiply
    12,339.67x = 18,514.77 × 8,181.13
  4. Step 4: Simplify right side
    12,339.67x = 151,471,740.29
  5. Step 5: Solve for x
    x = 151,471,740.29/12,339.67
  6. Step 6: Final answer
    x = 12,275.19

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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.