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Finding the Fourth Proportional to 13,502.70, 18,633.24 and 8,469.63

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Solution

The fourth proportional to 13,502.70, 18,633.24 and 8,469.63 is: 11,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.70 : 18,633.24 = 8,469.63 : x
  2. Step 2: Convert to fraction form
    13,502.70/18,633.24 = 8,469.63/x
  3. Step 3: Cross multiply
    13,502.70x = 18,633.24 × 8,469.63
  4. Step 4: Simplify right side
    13,502.70x = 157,816,648.50
  5. Step 5: Solve for x
    x = 157,816,648.50/13,502.70
  6. Step 6: Final answer
    x = 11,687.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.