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Finding the Fourth Proportional to 12,464.50, 18,691.27 and 4,667.84

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Solution

The fourth proportional to 12,464.50, 18,691.27 and 4,667.84 is: 6,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.50 : 18,691.27 = 4,667.84 : x
  2. Step 2: Convert to fraction form
    12,464.50/18,691.27 = 4,667.84/x
  3. Step 3: Cross multiply
    12,464.50x = 18,691.27 × 4,667.84
  4. Step 4: Simplify right side
    12,464.50x = 87,247,892.82
  5. Step 5: Solve for x
    x = 87,247,892.82/12,464.50
  6. Step 6: Final answer
    x = 6,999.71

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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.