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Finding the Fourth Proportional to 12,296.49, 18,447.47 and 3,530.73

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Solution

The fourth proportional to 12,296.49, 18,447.47 and 3,530.73 is: 5,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.49 : 18,447.47 = 3,530.73 : x
  2. Step 2: Convert to fraction form
    12,296.49/18,447.47 = 3,530.73/x
  3. Step 3: Cross multiply
    12,296.49x = 18,447.47 × 3,530.73
  4. Step 4: Simplify right side
    12,296.49x = 65,133,018.10
  5. Step 5: Solve for x
    x = 65,133,018.10/12,296.49
  6. Step 6: Final answer
    x = 5,296.88

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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.