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Finding the Fourth Proportional to 13,474.44, 20,206.80 and 5,679

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Solution

The fourth proportional to 13,474.44, 20,206.80 and 5,679 is: 8,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.44 : 20,206.80 = 5,679 : x
  2. Step 2: Convert to fraction form
    13,474.44/20,206.80 = 5,679/x
  3. Step 3: Cross multiply
    13,474.44x = 20,206.80 × 5,679
  4. Step 4: Simplify right side
    13,474.44x = 114,754,417.20
  5. Step 5: Solve for x
    x = 114,754,417.20/13,474.44
  6. Step 6: Final answer
    x = 8,516.45

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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.