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Finding the Fourth Proportional to 13,993.32, 20,977.56 and 5,222.28

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Solution

The fourth proportional to 13,993.32, 20,977.56 and 5,222.28 is: 7,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.32 : 20,977.56 = 5,222.28 : x
  2. Step 2: Convert to fraction form
    13,993.32/20,977.56 = 5,222.28/x
  3. Step 3: Cross multiply
    13,993.32x = 20,977.56 × 5,222.28
  4. Step 4: Simplify right side
    13,993.32x = 109,550,692.04
  5. Step 5: Solve for x
    x = 109,550,692.04/13,993.32
  6. Step 6: Final answer
    x = 7,828.78

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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.