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Finding the Fourth Proportional to 13,174.56, 18,172.54 and 9,194.22

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Solution

The fourth proportional to 13,174.56, 18,172.54 and 9,194.22 is: 12,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.56 : 18,172.54 = 9,194.22 : x
  2. Step 2: Convert to fraction form
    13,174.56/18,172.54 = 9,194.22/x
  3. Step 3: Cross multiply
    13,174.56x = 18,172.54 × 9,194.22
  4. Step 4: Simplify right side
    13,174.56x = 167,082,330.72
  5. Step 5: Solve for x
    x = 167,082,330.72/13,174.56
  6. Step 6: Final answer
    x = 12,682.19

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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.