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Finding the Fourth Proportional to 13,441.40, 20,162.10 and 4,206.20

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Solution

The fourth proportional to 13,441.40, 20,162.10 and 4,206.20 is: 6,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.40 : 20,162.10 = 4,206.20 : x
  2. Step 2: Convert to fraction form
    13,441.40/20,162.10 = 4,206.20/x
  3. Step 3: Cross multiply
    13,441.40x = 20,162.10 × 4,206.20
  4. Step 4: Simplify right side
    13,441.40x = 84,805,825.02
  5. Step 5: Solve for x
    x = 84,805,825.02/13,441.40
  6. Step 6: Final answer
    x = 6,309.30

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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.