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Finding the Fourth Proportional to 13,232.79, 19,843.91 and 5,832

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Solution

The fourth proportional to 13,232.79, 19,843.91 and 5,832 is: 8,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.79 : 19,843.91 = 5,832 : x
  2. Step 2: Convert to fraction form
    13,232.79/19,843.91 = 5,832/x
  3. Step 3: Cross multiply
    13,232.79x = 19,843.91 × 5,832
  4. Step 4: Simplify right side
    13,232.79x = 115,729,692.23
  5. Step 5: Solve for x
    x = 115,729,692.23/13,232.79
  6. Step 6: Final answer
    x = 8,745.67

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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.