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Finding the Fourth Proportional to 23,825.44, 35,737.13 and 8,029.43

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Solution

The fourth proportional to 23,825.44, 35,737.13 and 8,029.43 is: 12,043.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.44 : 35,737.13 = 8,029.43 : x
  2. Step 2: Convert to fraction form
    23,825.44/35,737.13 = 8,029.43/x
  3. Step 3: Cross multiply
    23,825.44x = 35,737.13 × 8,029.43
  4. Step 4: Simplify right side
    23,825.44x = 286,948,564.90
  5. Step 5: Solve for x
    x = 286,948,564.90/23,825.44
  6. Step 6: Final answer
    x = 12,043.79

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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.