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Finding the Fourth Proportional to 24,651.92, 36,983.72 and 8,011.96

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Solution

The fourth proportional to 24,651.92, 36,983.72 and 8,011.96 is: 12,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,651.92 : 36,983.72 = 8,011.96 : x
  2. Step 2: Convert to fraction form
    24,651.92/36,983.72 = 8,011.96/x
  3. Step 3: Cross multiply
    24,651.92x = 36,983.72 × 8,011.96
  4. Step 4: Simplify right side
    24,651.92x = 296,312,012.86
  5. Step 5: Solve for x
    x = 296,312,012.86/24,651.92
  6. Step 6: Final answer
    x = 12,019.83

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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.