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Finding the Fourth Proportional to 16,498.92, 22,768.67 and 8,945.23

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Solution

The fourth proportional to 16,498.92, 22,768.67 and 8,945.23 is: 12,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.92 : 22,768.67 = 8,945.23 : x
  2. Step 2: Convert to fraction form
    16,498.92/22,768.67 = 8,945.23/x
  3. Step 3: Cross multiply
    16,498.92x = 22,768.67 × 8,945.23
  4. Step 4: Simplify right side
    16,498.92x = 203,670,989.94
  5. Step 5: Solve for x
    x = 203,670,989.94/16,498.92
  6. Step 6: Final answer
    x = 12,344.50

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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.