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Finding the Fourth Proportional to 13,613.31, 18,785.67 and 7,645.23

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Solution

The fourth proportional to 13,613.31, 18,785.67 and 7,645.23 is: 10,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.31 : 18,785.67 = 7,645.23 : x
  2. Step 2: Convert to fraction form
    13,613.31/18,785.67 = 7,645.23/x
  3. Step 3: Cross multiply
    13,613.31x = 18,785.67 × 7,645.23
  4. Step 4: Simplify right side
    13,613.31x = 143,620,767.85
  5. Step 5: Solve for x
    x = 143,620,767.85/13,613.31
  6. Step 6: Final answer
    x = 10,550.03

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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.