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Finding the Fourth Proportional to 22,202.52, 33,309 and 7,208.48

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Solution

The fourth proportional to 22,202.52, 33,309 and 7,208.48 is: 10,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.52 : 33,309 = 7,208.48 : x
  2. Step 2: Convert to fraction form
    22,202.52/33,309 = 7,208.48/x
  3. Step 3: Cross multiply
    22,202.52x = 33,309 × 7,208.48
  4. Step 4: Simplify right side
    22,202.52x = 240,107,260.32
  5. Step 5: Solve for x
    x = 240,107,260.32/22,202.52
  6. Step 6: Final answer
    x = 10,814.41

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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.