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Finding the Fourth Proportional to 13,698.86, 20,546.39 and 5,906.66

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Solution

The fourth proportional to 13,698.86, 20,546.39 and 5,906.66 is: 8,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.86 : 20,546.39 = 5,906.66 : x
  2. Step 2: Convert to fraction form
    13,698.86/20,546.39 = 5,906.66/x
  3. Step 3: Cross multiply
    13,698.86x = 20,546.39 × 5,906.66
  4. Step 4: Simplify right side
    13,698.86x = 121,360,451.99
  5. Step 5: Solve for x
    x = 121,360,451.99/13,698.86
  6. Step 6: Final answer
    x = 8,859.17

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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.