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Finding the Fourth Proportional to 22,573.42, 33,856.27 and 6,774.17

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Solution

The fourth proportional to 22,573.42, 33,856.27 and 6,774.17 is: 10,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,573.42 : 33,856.27 = 6,774.17 : x
  2. Step 2: Convert to fraction form
    22,573.42/33,856.27 = 6,774.17/x
  3. Step 3: Cross multiply
    22,573.42x = 33,856.27 × 6,774.17
  4. Step 4: Simplify right side
    22,573.42x = 229,347,942.33
  5. Step 5: Solve for x
    x = 229,347,942.33/22,573.42
  6. Step 6: Final answer
    x = 10,160.09

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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.