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Finding the Fourth Proportional to 16,101.36, 22,219.68 and 9,027.63

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Solution

The fourth proportional to 16,101.36, 22,219.68 and 9,027.63 is: 12,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.36 : 22,219.68 = 9,027.63 : x
  2. Step 2: Convert to fraction form
    16,101.36/22,219.68 = 9,027.63/x
  3. Step 3: Cross multiply
    16,101.36x = 22,219.68 × 9,027.63
  4. Step 4: Simplify right side
    16,101.36x = 200,591,049.76
  5. Step 5: Solve for x
    x = 200,591,049.76/16,101.36
  6. Step 6: Final answer
    x = 12,458.02

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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.