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Finding the Fourth Proportional to 22,229.85, 30,677.24 and 12,158.34

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Solution

The fourth proportional to 22,229.85, 30,677.24 and 12,158.34 is: 16,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229.85 : 30,677.24 = 12,158.34 : x
  2. Step 2: Convert to fraction form
    22,229.85/30,677.24 = 12,158.34/x
  3. Step 3: Cross multiply
    22,229.85x = 30,677.24 × 12,158.34
  4. Step 4: Simplify right side
    22,229.85x = 372,984,314.18
  5. Step 5: Solve for x
    x = 372,984,314.18/22,229.85
  6. Step 6: Final answer
    x = 16,778.53

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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.