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Finding the Fourth Proportional to 22,294.37, 30,766.10 and 12,223.24

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Solution

The fourth proportional to 22,294.37, 30,766.10 and 12,223.24 is: 16,867.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,294.37 : 30,766.10 = 12,223.24 : x
  2. Step 2: Convert to fraction form
    22,294.37/30,766.10 = 12,223.24/x
  3. Step 3: Cross multiply
    22,294.37x = 30,766.10 × 12,223.24
  4. Step 4: Simplify right side
    22,294.37x = 376,061,209.22
  5. Step 5: Solve for x
    x = 376,061,209.22/22,294.37
  6. Step 6: Final answer
    x = 16,867.99

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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.