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Finding the Fourth Proportional to 16,313.82, 22,512.47 and 8,861.66

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Solution

The fourth proportional to 16,313.82, 22,512.47 and 8,861.66 is: 12,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313.82 : 22,512.47 = 8,861.66 : x
  2. Step 2: Convert to fraction form
    16,313.82/22,512.47 = 8,861.66/x
  3. Step 3: Cross multiply
    16,313.82x = 22,512.47 × 8,861.66
  4. Step 4: Simplify right side
    16,313.82x = 199,497,854.90
  5. Step 5: Solve for x
    x = 199,497,854.90/16,313.82
  6. Step 6: Final answer
    x = 12,228.76

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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.