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Finding the Fourth Proportional to 13,427.70, 18,525.96 and 8,122.20

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Solution

The fourth proportional to 13,427.70, 18,525.96 and 8,122.20 is: 11,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.70 : 18,525.96 = 8,122.20 : x
  2. Step 2: Convert to fraction form
    13,427.70/18,525.96 = 8,122.20/x
  3. Step 3: Cross multiply
    13,427.70x = 18,525.96 × 8,122.20
  4. Step 4: Simplify right side
    13,427.70x = 150,471,552.31
  5. Step 5: Solve for x
    x = 150,471,552.31/13,427.70
  6. Step 6: Final answer
    x = 11,206.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.