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Finding the Fourth Proportional to 22,096.80, 33,140.43 and 7,302.24

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Solution

The fourth proportional to 22,096.80, 33,140.43 and 7,302.24 is: 10,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096.80 : 33,140.43 = 7,302.24 : x
  2. Step 2: Convert to fraction form
    22,096.80/33,140.43 = 7,302.24/x
  3. Step 3: Cross multiply
    22,096.80x = 33,140.43 × 7,302.24
  4. Step 4: Simplify right side
    22,096.80x = 241,999,373.56
  5. Step 5: Solve for x
    x = 241,999,373.56/22,096.80
  6. Step 6: Final answer
    x = 10,951.78

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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.