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Finding the Fourth Proportional to 16,114.64, 22,237.78 and 8,944.54

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Solution

The fourth proportional to 16,114.64, 22,237.78 and 8,944.54 is: 12,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.64 : 22,237.78 = 8,944.54 : x
  2. Step 2: Convert to fraction form
    16,114.64/22,237.78 = 8,944.54/x
  3. Step 3: Cross multiply
    16,114.64x = 22,237.78 × 8,944.54
  4. Step 4: Simplify right side
    16,114.64x = 198,906,607.69
  5. Step 5: Solve for x
    x = 198,906,607.69/16,114.64
  6. Step 6: Final answer
    x = 12,343.22

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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.