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Finding the Fourth Proportional to 22,160.86, 33,231.54 and 8,300.14

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Solution

The fourth proportional to 22,160.86, 33,231.54 and 8,300.14 is: 12,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,160.86 : 33,231.54 = 8,300.14 : x
  2. Step 2: Convert to fraction form
    22,160.86/33,231.54 = 8,300.14/x
  3. Step 3: Cross multiply
    22,160.86x = 33,231.54 × 8,300.14
  4. Step 4: Simplify right side
    22,160.86x = 275,826,434.42
  5. Step 5: Solve for x
    x = 275,826,434.42/22,160.86
  6. Step 6: Final answer
    x = 12,446.56

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