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Finding the Fourth Proportional to 13,607.20, 20,410.24 and 3,745.76

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Solution

The fourth proportional to 13,607.20, 20,410.24 and 3,745.76 is: 5,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.20 : 20,410.24 = 3,745.76 : x
  2. Step 2: Convert to fraction form
    13,607.20/20,410.24 = 3,745.76/x
  3. Step 3: Cross multiply
    13,607.20x = 20,410.24 × 3,745.76
  4. Step 4: Simplify right side
    13,607.20x = 76,451,860.58
  5. Step 5: Solve for x
    x = 76,451,860.58/13,607.20
  6. Step 6: Final answer
    x = 5,618.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.