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Finding the Fourth Proportional to 13,442.99, 20,162.21 and 4,080.75

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Solution

The fourth proportional to 13,442.99, 20,162.21 and 4,080.75 is: 6,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.99 : 20,162.21 = 4,080.75 : x
  2. Step 2: Convert to fraction form
    13,442.99/20,162.21 = 4,080.75/x
  3. Step 3: Cross multiply
    13,442.99x = 20,162.21 × 4,080.75
  4. Step 4: Simplify right side
    13,442.99x = 82,276,938.46
  5. Step 5: Solve for x
    x = 82,276,938.46/13,442.99
  6. Step 6: Final answer
    x = 6,120.43

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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.