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Finding the Fourth Proportional to 13,427.41, 20,143.16 and 6,850.01

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Solution

The fourth proportional to 13,427.41, 20,143.16 and 6,850.01 is: 10,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.41 : 20,143.16 = 6,850.01 : x
  2. Step 2: Convert to fraction form
    13,427.41/20,143.16 = 6,850.01/x
  3. Step 3: Cross multiply
    13,427.41x = 20,143.16 × 6,850.01
  4. Step 4: Simplify right side
    13,427.41x = 137,980,847.43
  5. Step 5: Solve for x
    x = 137,980,847.43/13,427.41
  6. Step 6: Final answer
    x = 10,276.06

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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.