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Finding the Fourth Proportional to 13,261.68, 19,893.06 and 5,469.75

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Solution

The fourth proportional to 13,261.68, 19,893.06 and 5,469.75 is: 8,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,261.68 : 19,893.06 = 5,469.75 : x
  2. Step 2: Convert to fraction form
    13,261.68/19,893.06 = 5,469.75/x
  3. Step 3: Cross multiply
    13,261.68x = 19,893.06 × 5,469.75
  4. Step 4: Simplify right side
    13,261.68x = 108,810,064.94
  5. Step 5: Solve for x
    x = 108,810,064.94/13,261.68
  6. Step 6: Final answer
    x = 8,204.85

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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.