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Finding the Fourth Proportional to 16,113.86, 22,238.26 and 8,944.14

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Solution

The fourth proportional to 16,113.86, 22,238.26 and 8,944.14 is: 12,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,113.86 : 22,238.26 = 8,944.14 : x
  2. Step 2: Convert to fraction form
    16,113.86/22,238.26 = 8,944.14/x
  3. Step 3: Cross multiply
    16,113.86x = 22,238.26 × 8,944.14
  4. Step 4: Simplify right side
    16,113.86x = 198,902,110.80
  5. Step 5: Solve for x
    x = 198,902,110.80/16,113.86
  6. Step 6: Final answer
    x = 12,343.54

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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.