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Finding the Fourth Proportional to 13,965.20, 20,972.10 and 9,834.20

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Solution

The fourth proportional to 13,965.20, 20,972.10 and 9,834.20 is: 14,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.20 : 20,972.10 = 9,834.20 : x
  2. Step 2: Convert to fraction form
    13,965.20/20,972.10 = 9,834.20/x
  3. Step 3: Cross multiply
    13,965.20x = 20,972.10 × 9,834.20
  4. Step 4: Simplify right side
    13,965.20x = 206,243,825.82
  5. Step 5: Solve for x
    x = 206,243,825.82/13,965.20
  6. Step 6: Final answer
    x = 14,768.41

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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.