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Finding the Fourth Proportional to 13,871.81, 20,797.99 and 5,105.59

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Solution

The fourth proportional to 13,871.81, 20,797.99 and 5,105.59 is: 7,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.81 : 20,797.99 = 5,105.59 : x
  2. Step 2: Convert to fraction form
    13,871.81/20,797.99 = 5,105.59/x
  3. Step 3: Cross multiply
    13,871.81x = 20,797.99 × 5,105.59
  4. Step 4: Simplify right side
    13,871.81x = 106,186,009.76
  5. Step 5: Solve for x
    x = 106,186,009.76/13,871.81
  6. Step 6: Final answer
    x = 7,654.81

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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.