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Finding the Fourth Proportional to 13,613.54, 18,782.00 and 8,505.59

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Solution

The fourth proportional to 13,613.54, 18,782.00 and 8,505.59 is: 11,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.54 : 18,782.00 = 8,505.59 : x
  2. Step 2: Convert to fraction form
    13,613.54/18,782.00 = 8,505.59/x
  3. Step 3: Cross multiply
    13,613.54x = 18,782.00 × 8,505.59
  4. Step 4: Simplify right side
    13,613.54x = 159,751,886.84
  5. Step 5: Solve for x
    x = 159,751,886.84/13,613.54
  6. Step 6: Final answer
    x = 11,734.78

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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.