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Finding the Fourth Proportional to 21,912.50, 32,852.35 and 7,112.59

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Solution

The fourth proportional to 21,912.50, 32,852.35 and 7,112.59 is: 10,663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,912.50 : 32,852.35 = 7,112.59 : x
  2. Step 2: Convert to fraction form
    21,912.50/32,852.35 = 7,112.59/x
  3. Step 3: Cross multiply
    21,912.50x = 32,852.35 × 7,112.59
  4. Step 4: Simplify right side
    21,912.50x = 233,665,296.09
  5. Step 5: Solve for x
    x = 233,665,296.09/21,912.50
  6. Step 6: Final answer
    x = 10,663.56

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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.