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Finding the Fourth Proportional to 13,918.24, 20,874.12 and 6,991.12

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Solution

The fourth proportional to 13,918.24, 20,874.12 and 6,991.12 is: 10,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,918.24 : 20,874.12 = 6,991.12 : x
  2. Step 2: Convert to fraction form
    13,918.24/20,874.12 = 6,991.12/x
  3. Step 3: Cross multiply
    13,918.24x = 20,874.12 × 6,991.12
  4. Step 4: Simplify right side
    13,918.24x = 145,933,477.81
  5. Step 5: Solve for x
    x = 145,933,477.81/13,918.24
  6. Step 6: Final answer
    x = 10,485.05

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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.