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Finding the Fourth Proportional to 21,912.50, 32,852.34 and 7,112.58

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Solution

The fourth proportional to 21,912.50, 32,852.34 and 7,112.58 is: 10,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,912.50 : 32,852.34 = 7,112.58 : x
  2. Step 2: Convert to fraction form
    21,912.50/32,852.34 = 7,112.58/x
  3. Step 3: Cross multiply
    21,912.50x = 32,852.34 × 7,112.58
  4. Step 4: Simplify right side
    21,912.50x = 233,664,896.44
  5. Step 5: Solve for x
    x = 233,664,896.44/21,912.50
  6. Step 6: Final answer
    x = 10,663.54

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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.