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Finding the Fourth Proportional to 12,215.64, 18,322.25 and 8,292.09

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Solution

The fourth proportional to 12,215.64, 18,322.25 and 8,292.09 is: 12,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.64 : 18,322.25 = 8,292.09 : x
  2. Step 2: Convert to fraction form
    12,215.64/18,322.25 = 8,292.09/x
  3. Step 3: Cross multiply
    12,215.64x = 18,322.25 × 8,292.09
  4. Step 4: Simplify right side
    12,215.64x = 151,929,704.54
  5. Step 5: Solve for x
    x = 151,929,704.54/12,215.64
  6. Step 6: Final answer
    x = 12,437.31

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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.