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Finding the Fourth Proportional to 16,183.68, 22,332.96 and 9,109.14

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Solution

The fourth proportional to 16,183.68, 22,332.96 and 9,109.14 is: 12,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.68 : 22,332.96 = 9,109.14 : x
  2. Step 2: Convert to fraction form
    16,183.68/22,332.96 = 9,109.14/x
  3. Step 3: Cross multiply
    16,183.68x = 22,332.96 × 9,109.14
  4. Step 4: Simplify right side
    16,183.68x = 203,434,059.25
  5. Step 5: Solve for x
    x = 203,434,059.25/16,183.68
  6. Step 6: Final answer
    x = 12,570.32

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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.