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Finding the Fourth Proportional to 21,961.57, 32,946.95 and 7,171.33

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Solution

The fourth proportional to 21,961.57, 32,946.95 and 7,171.33 is: 10,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,961.57 : 32,946.95 = 7,171.33 : x
  2. Step 2: Convert to fraction form
    21,961.57/32,946.95 = 7,171.33/x
  3. Step 3: Cross multiply
    21,961.57x = 32,946.95 × 7,171.33
  4. Step 4: Simplify right side
    21,961.57x = 236,273,450.94
  5. Step 5: Solve for x
    x = 236,273,450.94/21,961.57
  6. Step 6: Final answer
    x = 10,758.50

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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.