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Finding the Fourth Proportional to 23,414.64, 35,122.04 and 5,884.36

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Solution

The fourth proportional to 23,414.64, 35,122.04 and 5,884.36 is: 8,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.64 : 35,122.04 = 5,884.36 : x
  2. Step 2: Convert to fraction form
    23,414.64/35,122.04 = 5,884.36/x
  3. Step 3: Cross multiply
    23,414.64x = 35,122.04 × 5,884.36
  4. Step 4: Simplify right side
    23,414.64x = 206,670,727.29
  5. Step 5: Solve for x
    x = 206,670,727.29/23,414.64
  6. Step 6: Final answer
    x = 8,826.56

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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.