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Finding the Fourth Proportional to 22,305.57, 30,782.12 and 12,233.42

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Solution

The fourth proportional to 22,305.57, 30,782.12 and 12,233.42 is: 16,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.57 : 30,782.12 = 12,233.42 : x
  2. Step 2: Convert to fraction form
    22,305.57/30,782.12 = 12,233.42/x
  3. Step 3: Cross multiply
    22,305.57x = 30,782.12 × 12,233.42
  4. Step 4: Simplify right side
    22,305.57x = 376,570,387.37
  5. Step 5: Solve for x
    x = 376,570,387.37/22,305.57
  6. Step 6: Final answer
    x = 16,882.35

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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.