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Finding the Fourth Proportional to 22,408.06, 30,923.92 and 12,849.42

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Solution

The fourth proportional to 22,408.06, 30,923.92 and 12,849.42 is: 17,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.06 : 30,923.92 = 12,849.42 : x
  2. Step 2: Convert to fraction form
    22,408.06/30,923.92 = 12,849.42/x
  3. Step 3: Cross multiply
    22,408.06x = 30,923.92 × 12,849.42
  4. Step 4: Simplify right side
    22,408.06x = 397,354,436.13
  5. Step 5: Solve for x
    x = 397,354,436.13/22,408.06
  6. Step 6: Final answer
    x = 17,732.66

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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.