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Finding the Fourth Proportional to 13,464.78, 20,199.09 and 4,231.50

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Solution

The fourth proportional to 13,464.78, 20,199.09 and 4,231.50 is: 6,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.78 : 20,199.09 = 4,231.50 : x
  2. Step 2: Convert to fraction form
    13,464.78/20,199.09 = 4,231.50/x
  3. Step 3: Cross multiply
    13,464.78x = 20,199.09 × 4,231.50
  4. Step 4: Simplify right side
    13,464.78x = 85,472,449.34
  5. Step 5: Solve for x
    x = 85,472,449.34/13,464.78
  6. Step 6: Final answer
    x = 6,347.85

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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.