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Finding the Fourth Proportional to 12,086.02, 18,148.86 and 8,162.44

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Solution

The fourth proportional to 12,086.02, 18,148.86 and 8,162.44 is: 12,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.02 : 18,148.86 = 8,162.44 : x
  2. Step 2: Convert to fraction form
    12,086.02/18,148.86 = 8,162.44/x
  3. Step 3: Cross multiply
    12,086.02x = 18,148.86 × 8,162.44
  4. Step 4: Simplify right side
    12,086.02x = 148,138,980.82
  5. Step 5: Solve for x
    x = 148,138,980.82/12,086.02
  6. Step 6: Final answer
    x = 12,257.05

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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.