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Finding the Fourth Proportional to 13,817.94, 20,726.72 and 3,429.70

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Solution

The fourth proportional to 13,817.94, 20,726.72 and 3,429.70 is: 5,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.94 : 20,726.72 = 3,429.70 : x
  2. Step 2: Convert to fraction form
    13,817.94/20,726.72 = 3,429.70/x
  3. Step 3: Cross multiply
    13,817.94x = 20,726.72 × 3,429.70
  4. Step 4: Simplify right side
    13,817.94x = 71,086,431.58
  5. Step 5: Solve for x
    x = 71,086,431.58/13,817.94
  6. Step 6: Final answer
    x = 5,144.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.