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Finding the Fourth Proportional to 13,726.81, 20,591.43 and 3,866.19

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Solution

The fourth proportional to 13,726.81, 20,591.43 and 3,866.19 is: 5,799.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.81 : 20,591.43 = 3,866.19 : x
  2. Step 2: Convert to fraction form
    13,726.81/20,591.43 = 3,866.19/x
  3. Step 3: Cross multiply
    13,726.81x = 20,591.43 × 3,866.19
  4. Step 4: Simplify right side
    13,726.81x = 79,610,380.75
  5. Step 5: Solve for x
    x = 79,610,380.75/13,726.81
  6. Step 6: Final answer
    x = 5,799.63

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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.