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Finding the Fourth Proportional to 13,608.92, 18,782.35 and 8,306.82

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Solution

The fourth proportional to 13,608.92, 18,782.35 and 8,306.82 is: 11,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.92 : 18,782.35 = 8,306.82 : x
  2. Step 2: Convert to fraction form
    13,608.92/18,782.35 = 8,306.82/x
  3. Step 3: Cross multiply
    13,608.92x = 18,782.35 × 8,306.82
  4. Step 4: Simplify right side
    13,608.92x = 156,021,579.86
  5. Step 5: Solve for x
    x = 156,021,579.86/13,608.92
  6. Step 6: Final answer
    x = 11,464.65

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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.