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Finding the Fourth Proportional to 13,892.70, 20,839.05 and 6,965.58

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Solution

The fourth proportional to 13,892.70, 20,839.05 and 6,965.58 is: 10,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.70 : 20,839.05 = 6,965.58 : x
  2. Step 2: Convert to fraction form
    13,892.70/20,839.05 = 6,965.58/x
  3. Step 3: Cross multiply
    13,892.70x = 20,839.05 × 6,965.58
  4. Step 4: Simplify right side
    13,892.70x = 145,156,069.90
  5. Step 5: Solve for x
    x = 145,156,069.90/13,892.70
  6. Step 6: Final answer
    x = 10,448.37

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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.