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Finding the Fourth Proportional to 23,956.80, 35,935.24 and 8,374.40

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Solution

The fourth proportional to 23,956.80, 35,935.24 and 8,374.40 is: 12,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,956.80 : 35,935.24 = 8,374.40 : x
  2. Step 2: Convert to fraction form
    23,956.80/35,935.24 = 8,374.40/x
  3. Step 3: Cross multiply
    23,956.80x = 35,935.24 × 8,374.40
  4. Step 4: Simplify right side
    23,956.80x = 300,936,073.86
  5. Step 5: Solve for x
    x = 300,936,073.86/23,956.80
  6. Step 6: Final answer
    x = 12,561.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.