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Finding the Fourth Proportional to 13,908.69, 20,871.23 and 5,149.71

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Solution

The fourth proportional to 13,908.69, 20,871.23 and 5,149.71 is: 7,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.69 : 20,871.23 = 5,149.71 : x
  2. Step 2: Convert to fraction form
    13,908.69/20,871.23 = 5,149.71/x
  3. Step 3: Cross multiply
    13,908.69x = 20,871.23 × 5,149.71
  4. Step 4: Simplify right side
    13,908.69x = 107,480,756.09
  5. Step 5: Solve for x
    x = 107,480,756.09/13,908.69
  6. Step 6: Final answer
    x = 7,727.60

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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.