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Finding the Fourth Proportional to 13,224.02, 18,249.46 and 8,189.06

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Solution

The fourth proportional to 13,224.02, 18,249.46 and 8,189.06 is: 11,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.02 : 18,249.46 = 8,189.06 : x
  2. Step 2: Convert to fraction form
    13,224.02/18,249.46 = 8,189.06/x
  3. Step 3: Cross multiply
    13,224.02x = 18,249.46 × 8,189.06
  4. Step 4: Simplify right side
    13,224.02x = 149,445,922.91
  5. Step 5: Solve for x
    x = 149,445,922.91/13,224.02
  6. Step 6: Final answer
    x = 11,301.10

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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.