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Finding the Fourth Proportional to 22,339.64, 33,516.48 and 9,198.20

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Solution

The fourth proportional to 22,339.64, 33,516.48 and 9,198.20 is: 13,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,339.64 : 33,516.48 = 9,198.20 : x
  2. Step 2: Convert to fraction form
    22,339.64/33,516.48 = 9,198.20/x
  3. Step 3: Cross multiply
    22,339.64x = 33,516.48 × 9,198.20
  4. Step 4: Simplify right side
    22,339.64x = 308,291,286.34
  5. Step 5: Solve for x
    x = 308,291,286.34/22,339.64
  6. Step 6: Final answer
    x = 13,800.19

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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.