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Finding the Fourth Proportional to 13,613.91, 18,782.52 and 8,505.96

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Solution

The fourth proportional to 13,613.91, 18,782.52 and 8,505.96 is: 11,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.91 : 18,782.52 = 8,505.96 : x
  2. Step 2: Convert to fraction form
    13,613.91/18,782.52 = 8,505.96/x
  3. Step 3: Cross multiply
    13,613.91x = 18,782.52 × 8,505.96
  4. Step 4: Simplify right side
    13,613.91x = 159,763,363.82
  5. Step 5: Solve for x
    x = 159,763,363.82/13,613.91
  6. Step 6: Final answer
    x = 11,735.30

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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.