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Finding the Fourth Proportional to 22,228.34, 33,355.64 and 8,198.16

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Solution

The fourth proportional to 22,228.34, 33,355.64 and 8,198.16 is: 12,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,228.34 : 33,355.64 = 8,198.16 : x
  2. Step 2: Convert to fraction form
    22,228.34/33,355.64 = 8,198.16/x
  3. Step 3: Cross multiply
    22,228.34x = 33,355.64 × 8,198.16
  4. Step 4: Simplify right side
    22,228.34x = 273,454,832.63
  5. Step 5: Solve for x
    x = 273,454,832.63/22,228.34
  6. Step 6: Final answer
    x = 12,302.08

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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.