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Finding the Fourth Proportional to 13,474.20, 20,202.83 and 4,111.11

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Solution

The fourth proportional to 13,474.20, 20,202.83 and 4,111.11 is: 6,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.20 : 20,202.83 = 4,111.11 : x
  2. Step 2: Convert to fraction form
    13,474.20/20,202.83 = 4,111.11/x
  3. Step 3: Cross multiply
    13,474.20x = 20,202.83 × 4,111.11
  4. Step 4: Simplify right side
    13,474.20x = 83,056,047.78
  5. Step 5: Solve for x
    x = 83,056,047.78/13,474.20
  6. Step 6: Final answer
    x = 6,164.08

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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.