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Finding the Fourth Proportional to 12,167.68, 18,245.44 and 6,322.56

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Solution

The fourth proportional to 12,167.68, 18,245.44 and 6,322.56 is: 9,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.68 : 18,245.44 = 6,322.56 : x
  2. Step 2: Convert to fraction form
    12,167.68/18,245.44 = 6,322.56/x
  3. Step 3: Cross multiply
    12,167.68x = 18,245.44 × 6,322.56
  4. Step 4: Simplify right side
    12,167.68x = 115,357,889.13
  5. Step 5: Solve for x
    x = 115,357,889.13/12,167.68
  6. Step 6: Final answer
    x = 9,480.68

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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.