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Finding the Fourth Proportional to 22,202.44, 33,287.28 and 10,502

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Solution

The fourth proportional to 22,202.44, 33,287.28 and 10,502 is: 15,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.44 : 33,287.28 = 10,502 : x
  2. Step 2: Convert to fraction form
    22,202.44/33,287.28 = 10,502/x
  3. Step 3: Cross multiply
    22,202.44x = 33,287.28 × 10,502
  4. Step 4: Simplify right side
    22,202.44x = 349,583,014.56
  5. Step 5: Solve for x
    x = 349,583,014.56/22,202.44
  6. Step 6: Final answer
    x = 15,745.25

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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.