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Finding the Fourth Proportional to 13,486.56, 20,216.23 and 5,578.15

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Solution

The fourth proportional to 13,486.56, 20,216.23 and 5,578.15 is: 8,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.56 : 20,216.23 = 5,578.15 : x
  2. Step 2: Convert to fraction form
    13,486.56/20,216.23 = 5,578.15/x
  3. Step 3: Cross multiply
    13,486.56x = 20,216.23 × 5,578.15
  4. Step 4: Simplify right side
    13,486.56x = 112,769,163.37
  5. Step 5: Solve for x
    x = 112,769,163.37/13,486.56
  6. Step 6: Final answer
    x = 8,361.60

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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.