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Finding the Fourth Proportional to 20,179.93, 30,262.22 and 9,228.25

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Solution

The fourth proportional to 20,179.93, 30,262.22 and 9,228.25 is: 13,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.93 : 30,262.22 = 9,228.25 : x
  2. Step 2: Convert to fraction form
    20,179.93/30,262.22 = 9,228.25/x
  3. Step 3: Cross multiply
    20,179.93x = 30,262.22 × 9,228.25
  4. Step 4: Simplify right side
    20,179.93x = 279,267,285.57
  5. Step 5: Solve for x
    x = 279,267,285.57/20,179.93
  6. Step 6: Final answer
    x = 13,838.86

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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.