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Finding the Fourth Proportional to 22,324.14, 30,809.97 and 12,892.77

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Solution

The fourth proportional to 22,324.14, 30,809.97 and 12,892.77 is: 17,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,324.14 : 30,809.97 = 12,892.77 : x
  2. Step 2: Convert to fraction form
    22,324.14/30,809.97 = 12,892.77/x
  3. Step 3: Cross multiply
    22,324.14x = 30,809.97 × 12,892.77
  4. Step 4: Simplify right side
    22,324.14x = 397,225,856.92
  5. Step 5: Solve for x
    x = 397,225,856.92/22,324.14
  6. Step 6: Final answer
    x = 17,793.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.