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Finding the Fourth Proportional to 22,471.12, 33,679.32 and 15,899.20

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Solution

The fourth proportional to 22,471.12, 33,679.32 and 15,899.20 is: 23,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.12 : 33,679.32 = 15,899.20 : x
  2. Step 2: Convert to fraction form
    22,471.12/33,679.32 = 15,899.20/x
  3. Step 3: Cross multiply
    22,471.12x = 33,679.32 × 15,899.20
  4. Step 4: Simplify right side
    22,471.12x = 535,474,244.54
  5. Step 5: Solve for x
    x = 535,474,244.54/22,471.12
  6. Step 6: Final answer
    x = 23,829.44

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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.