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Finding the Fourth Proportional to 13,793.49, 20,690.22 and 9,641.60

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Solution

The fourth proportional to 13,793.49, 20,690.22 and 9,641.60 is: 14,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.49 : 20,690.22 = 9,641.60 : x
  2. Step 2: Convert to fraction form
    13,793.49/20,690.22 = 9,641.60/x
  3. Step 3: Cross multiply
    13,793.49x = 20,690.22 × 9,641.60
  4. Step 4: Simplify right side
    13,793.49x = 199,486,721.70
  5. Step 5: Solve for x
    x = 199,486,721.70/13,793.49
  6. Step 6: Final answer
    x = 14,462.38

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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.