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Finding the Fourth Proportional to 22,608.96, 31,194.72 and 13,174.08

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Solution

The fourth proportional to 22,608.96, 31,194.72 and 13,174.08 is: 18,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608.96 : 31,194.72 = 13,174.08 : x
  2. Step 2: Convert to fraction form
    22,608.96/31,194.72 = 13,174.08/x
  3. Step 3: Cross multiply
    22,608.96x = 31,194.72 × 13,174.08
  4. Step 4: Simplify right side
    22,608.96x = 410,961,736.86
  5. Step 5: Solve for x
    x = 410,961,736.86/22,608.96
  6. Step 6: Final answer
    x = 18,176.94

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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.