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Finding the Fourth Proportional to 13,477, 20,216.22 and 4,243.72

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Solution

The fourth proportional to 13,477, 20,216.22 and 4,243.72 is: 6,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477 : 20,216.22 = 4,243.72 : x
  2. Step 2: Convert to fraction form
    13,477/20,216.22 = 4,243.72/x
  3. Step 3: Cross multiply
    13,477x = 20,216.22 × 4,243.72
  4. Step 4: Simplify right side
    13,477x = 85,791,977.14
  5. Step 5: Solve for x
    x = 85,791,977.14/13,477
  6. Step 6: Final answer
    x = 6,365.81

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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.