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Finding the Fourth Proportional to 22,221.60, 33,345.54 and 8,191.50

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Solution

The fourth proportional to 22,221.60, 33,345.54 and 8,191.50 is: 12,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,221.60 : 33,345.54 = 8,191.50 : x
  2. Step 2: Convert to fraction form
    22,221.60/33,345.54 = 8,191.50/x
  3. Step 3: Cross multiply
    22,221.60x = 33,345.54 × 8,191.50
  4. Step 4: Simplify right side
    22,221.60x = 273,149,990.91
  5. Step 5: Solve for x
    x = 273,149,990.91/22,221.60
  6. Step 6: Final answer
    x = 12,292.09

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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.