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Finding the Fourth Proportional to 12,462.58, 18,697.32 and 5,441.32

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Solution

The fourth proportional to 12,462.58, 18,697.32 and 5,441.32 is: 8,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.58 : 18,697.32 = 5,441.32 : x
  2. Step 2: Convert to fraction form
    12,462.58/18,697.32 = 5,441.32/x
  3. Step 3: Cross multiply
    12,462.58x = 18,697.32 × 5,441.32
  4. Step 4: Simplify right side
    12,462.58x = 101,738,101.26
  5. Step 5: Solve for x
    x = 101,738,101.26/12,462.58
  6. Step 6: Final answer
    x = 8,163.49

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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.