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Finding the Fourth Proportional to 12,296.25, 18,446.18 and 3,973.50

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Solution

The fourth proportional to 12,296.25, 18,446.18 and 3,973.50 is: 5,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.25 : 18,446.18 = 3,973.50 : x
  2. Step 2: Convert to fraction form
    12,296.25/18,446.18 = 3,973.50/x
  3. Step 3: Cross multiply
    12,296.25x = 18,446.18 × 3,973.50
  4. Step 4: Simplify right side
    12,296.25x = 73,295,876.36
  5. Step 5: Solve for x
    x = 73,295,876.36/12,296.25
  6. Step 6: Final answer
    x = 5,960.83

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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.