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Finding the Fourth Proportional to 22,102.88, 33,126.24 and 10,400

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Solution

The fourth proportional to 22,102.88, 33,126.24 and 10,400 is: 15,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.88 : 33,126.24 = 10,400 : x
  2. Step 2: Convert to fraction form
    22,102.88/33,126.24 = 10,400/x
  3. Step 3: Cross multiply
    22,102.88x = 33,126.24 × 10,400
  4. Step 4: Simplify right side
    22,102.88x = 344,512,896
  5. Step 5: Solve for x
    x = 344,512,896/22,102.88
  6. Step 6: Final answer
    x = 15,586.79

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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.