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Finding the Fourth Proportional to 13,754.68, 20,613.39 and 9,850.48

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Solution

The fourth proportional to 13,754.68, 20,613.39 and 9,850.48 is: 14,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.68 : 20,613.39 = 9,850.48 : x
  2. Step 2: Convert to fraction form
    13,754.68/20,613.39 = 9,850.48/x
  3. Step 3: Cross multiply
    13,754.68x = 20,613.39 × 9,850.48
  4. Step 4: Simplify right side
    13,754.68x = 203,051,785.93
  5. Step 5: Solve for x
    x = 203,051,785.93/13,754.68
  6. Step 6: Final answer
    x = 14,762.38

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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.