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Finding the Fourth Proportional to 22,202.28, 33,280.72 and 10,525.32

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Solution

The fourth proportional to 22,202.28, 33,280.72 and 10,525.32 is: 15,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.28 : 33,280.72 = 10,525.32 : x
  2. Step 2: Convert to fraction form
    22,202.28/33,280.72 = 10,525.32/x
  3. Step 3: Cross multiply
    22,202.28x = 33,280.72 × 10,525.32
  4. Step 4: Simplify right side
    22,202.28x = 350,290,227.83
  5. Step 5: Solve for x
    x = 350,290,227.83/22,202.28
  6. Step 6: Final answer
    x = 15,777.22

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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.