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Finding the Fourth Proportional to 23,228.73, 34,843.41 and 9,182.73

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Solution

The fourth proportional to 23,228.73, 34,843.41 and 9,182.73 is: 13,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228.73 : 34,843.41 = 9,182.73 : x
  2. Step 2: Convert to fraction form
    23,228.73/34,843.41 = 9,182.73/x
  3. Step 3: Cross multiply
    23,228.73x = 34,843.41 × 9,182.73
  4. Step 4: Simplify right side
    23,228.73x = 319,957,626.31
  5. Step 5: Solve for x
    x = 319,957,626.31/23,228.73
  6. Step 6: Final answer
    x = 13,774.22

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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.