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Finding the Fourth Proportional to 13,745.16, 20,643.14 and 8,232.39

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Solution

The fourth proportional to 13,745.16, 20,643.14 and 8,232.39 is: 12,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.16 : 20,643.14 = 8,232.39 : x
  2. Step 2: Convert to fraction form
    13,745.16/20,643.14 = 8,232.39/x
  3. Step 3: Cross multiply
    13,745.16x = 20,643.14 × 8,232.39
  4. Step 4: Simplify right side
    13,745.16x = 169,942,338.14
  5. Step 5: Solve for x
    x = 169,942,338.14/13,745.16
  6. Step 6: Final answer
    x = 12,363.79

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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.