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Finding the Fourth Proportional to 12,296.01, 18,449.42 and 6,451.24

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Solution

The fourth proportional to 12,296.01, 18,449.42 and 6,451.24 is: 9,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.01 : 18,449.42 = 6,451.24 : x
  2. Step 2: Convert to fraction form
    12,296.01/18,449.42 = 6,451.24/x
  3. Step 3: Cross multiply
    12,296.01x = 18,449.42 × 6,451.24
  4. Step 4: Simplify right side
    12,296.01x = 119,021,636.28
  5. Step 5: Solve for x
    x = 119,021,636.28/12,296.01
  6. Step 6: Final answer
    x = 9,679.70

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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.