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Finding the Fourth Proportional to 13,805.74, 20,708.66 and 5,485.22

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Solution

The fourth proportional to 13,805.74, 20,708.66 and 5,485.22 is: 8,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.74 : 20,708.66 = 5,485.22 : x
  2. Step 2: Convert to fraction form
    13,805.74/20,708.66 = 5,485.22/x
  3. Step 3: Cross multiply
    13,805.74x = 20,708.66 × 5,485.22
  4. Step 4: Simplify right side
    13,805.74x = 113,591,543.83
  5. Step 5: Solve for x
    x = 113,591,543.83/13,805.74
  6. Step 6: Final answer
    x = 8,227.85

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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.