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Finding the Fourth Proportional to 16,229.34, 22,396.50 and 8,777.34

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Solution

The fourth proportional to 16,229.34, 22,396.50 and 8,777.34 is: 12,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.34 : 22,396.50 = 8,777.34 : x
  2. Step 2: Convert to fraction form
    16,229.34/22,396.50 = 8,777.34/x
  3. Step 3: Cross multiply
    16,229.34x = 22,396.50 × 8,777.34
  4. Step 4: Simplify right side
    16,229.34x = 196,581,695.31
  5. Step 5: Solve for x
    x = 196,581,695.31/16,229.34
  6. Step 6: Final answer
    x = 12,112.74

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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.