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Finding the Fourth Proportional to 12,296.14, 18,445.11 and 3,531.13

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Solution

The fourth proportional to 12,296.14, 18,445.11 and 3,531.13 is: 5,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.14 : 18,445.11 = 3,531.13 : x
  2. Step 2: Convert to fraction form
    12,296.14/18,445.11 = 3,531.13/x
  3. Step 3: Cross multiply
    12,296.14x = 18,445.11 × 3,531.13
  4. Step 4: Simplify right side
    12,296.14x = 65,132,021.92
  5. Step 5: Solve for x
    x = 65,132,021.92/12,296.14
  6. Step 6: Final answer
    x = 5,296.95

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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.