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Finding the Fourth Proportional to 22,086, 33,132.64 and 7,295.76

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Solution

The fourth proportional to 22,086, 33,132.64 and 7,295.76 is: 10,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,086 : 33,132.64 = 7,295.76 : x
  2. Step 2: Convert to fraction form
    22,086/33,132.64 = 7,295.76/x
  3. Step 3: Cross multiply
    22,086x = 33,132.64 × 7,295.76
  4. Step 4: Simplify right side
    22,086x = 241,727,789.61
  5. Step 5: Solve for x
    x = 241,727,789.61/22,086
  6. Step 6: Final answer
    x = 10,944.84

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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.