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Finding the Fourth Proportional to 12,296.12, 18,444.22 and 8,135.36

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Solution

The fourth proportional to 12,296.12, 18,444.22 and 8,135.36 is: 12,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.12 : 18,444.22 = 8,135.36 : x
  2. Step 2: Convert to fraction form
    12,296.12/18,444.22 = 8,135.36/x
  3. Step 3: Cross multiply
    12,296.12x = 18,444.22 × 8,135.36
  4. Step 4: Simplify right side
    12,296.12x = 150,050,369.62
  5. Step 5: Solve for x
    x = 150,050,369.62/12,296.12
  6. Step 6: Final answer
    x = 12,203.07

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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.