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Finding the Fourth Proportional to 13,613.80, 18,781.40 and 7,945.74

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Solution

The fourth proportional to 13,613.80, 18,781.40 and 7,945.74 is: 10,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.80 : 18,781.40 = 7,945.74 : x
  2. Step 2: Convert to fraction form
    13,613.80/18,781.40 = 7,945.74/x
  3. Step 3: Cross multiply
    13,613.80x = 18,781.40 × 7,945.74
  4. Step 4: Simplify right side
    13,613.80x = 149,232,121.24
  5. Step 5: Solve for x
    x = 149,232,121.24/13,613.80
  6. Step 6: Final answer
    x = 10,961.83

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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.