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Finding the Fourth Proportional to 13,972.11, 20,944.14 and 6,941.31

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Solution

The fourth proportional to 13,972.11, 20,944.14 and 6,941.31 is: 10,405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.11 : 20,944.14 = 6,941.31 : x
  2. Step 2: Convert to fraction form
    13,972.11/20,944.14 = 6,941.31/x
  3. Step 3: Cross multiply
    13,972.11x = 20,944.14 × 6,941.31
  4. Step 4: Simplify right side
    13,972.11x = 145,379,768.42
  5. Step 5: Solve for x
    x = 145,379,768.42/13,972.11
  6. Step 6: Final answer
    x = 10,405.00

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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.