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Finding the Fourth Proportional to 12,201.96, 18,204.37 and 10,366.44

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Solution

The fourth proportional to 12,201.96, 18,204.37 and 10,366.44 is: 15,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.96 : 18,204.37 = 10,366.44 : x
  2. Step 2: Convert to fraction form
    12,201.96/18,204.37 = 10,366.44/x
  3. Step 3: Cross multiply
    12,201.96x = 18,204.37 × 10,366.44
  4. Step 4: Simplify right side
    12,201.96x = 188,714,509.34
  5. Step 5: Solve for x
    x = 188,714,509.34/12,201.96
  6. Step 6: Final answer
    x = 15,465.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.