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Finding the Fourth Proportional to 22,656.46, 33,984.70 and 8,613.17

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Solution

The fourth proportional to 22,656.46, 33,984.70 and 8,613.17 is: 12,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.46 : 33,984.70 = 8,613.17 : x
  2. Step 2: Convert to fraction form
    22,656.46/33,984.70 = 8,613.17/x
  3. Step 3: Cross multiply
    22,656.46x = 33,984.70 × 8,613.17
  4. Step 4: Simplify right side
    22,656.46x = 292,715,998.50
  5. Step 5: Solve for x
    x = 292,715,998.50/22,656.46
  6. Step 6: Final answer
    x = 12,919.76

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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.