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Finding the Fourth Proportional to 23,704.53, 35,562.06 and 8,121.75

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Solution

The fourth proportional to 23,704.53, 35,562.06 and 8,121.75 is: 12,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.53 : 35,562.06 = 8,121.75 : x
  2. Step 2: Convert to fraction form
    23,704.53/35,562.06 = 8,121.75/x
  3. Step 3: Cross multiply
    23,704.53x = 35,562.06 × 8,121.75
  4. Step 4: Simplify right side
    23,704.53x = 288,826,160.81
  5. Step 5: Solve for x
    x = 288,826,160.81/23,704.53
  6. Step 6: Final answer
    x = 12,184.43

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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.