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Finding the Fourth Proportional to 12,296.12, 18,451.38 and 4,505.48

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Solution

The fourth proportional to 12,296.12, 18,451.38 and 4,505.48 is: 6,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.12 : 18,451.38 = 4,505.48 : x
  2. Step 2: Convert to fraction form
    12,296.12/18,451.38 = 4,505.48/x
  3. Step 3: Cross multiply
    12,296.12x = 18,451.38 × 4,505.48
  4. Step 4: Simplify right side
    12,296.12x = 83,132,323.56
  5. Step 5: Solve for x
    x = 83,132,323.56/12,296.12
  6. Step 6: Final answer
    x = 6,760.86

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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.