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Finding the Fourth Proportional to 15,793.24, 23,704.38 and 8,007.64

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Solution

The fourth proportional to 15,793.24, 23,704.38 and 8,007.64 is: 12,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,793.24 : 23,704.38 = 8,007.64 : x
  2. Step 2: Convert to fraction form
    15,793.24/23,704.38 = 8,007.64/x
  3. Step 3: Cross multiply
    15,793.24x = 23,704.38 × 8,007.64
  4. Step 4: Simplify right side
    15,793.24x = 189,816,141.46
  5. Step 5: Solve for x
    x = 189,816,141.46/15,793.24
  6. Step 6: Final answer
    x = 12,018.82

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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.