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Finding the Fourth Proportional to 13,794.14, 20,682.30 and 5,901.80

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Solution

The fourth proportional to 13,794.14, 20,682.30 and 5,901.80 is: 8,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.14 : 20,682.30 = 5,901.80 : x
  2. Step 2: Convert to fraction form
    13,794.14/20,682.30 = 5,901.80/x
  3. Step 3: Cross multiply
    13,794.14x = 20,682.30 × 5,901.80
  4. Step 4: Simplify right side
    13,794.14x = 122,062,798.14
  5. Step 5: Solve for x
    x = 122,062,798.14/13,794.14
  6. Step 6: Final answer
    x = 8,848.89

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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.