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Finding the Fourth Proportional to 12,224.83, 18,338.03 and 3,460.43

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Solution

The fourth proportional to 12,224.83, 18,338.03 and 3,460.43 is: 5,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.83 : 18,338.03 = 3,460.43 : x
  2. Step 2: Convert to fraction form
    12,224.83/18,338.03 = 3,460.43/x
  3. Step 3: Cross multiply
    12,224.83x = 18,338.03 × 3,460.43
  4. Step 4: Simplify right side
    12,224.83x = 63,457,406.01
  5. Step 5: Solve for x
    x = 63,457,406.01/12,224.83
  6. Step 6: Final answer
    x = 5,190.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.