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Finding the Fourth Proportional to 13,578.16, 18,735.96 and 7,609.36

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Solution

The fourth proportional to 13,578.16, 18,735.96 and 7,609.36 is: 10,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.16 : 18,735.96 = 7,609.36 : x
  2. Step 2: Convert to fraction form
    13,578.16/18,735.96 = 7,609.36/x
  3. Step 3: Cross multiply
    13,578.16x = 18,735.96 × 7,609.36
  4. Step 4: Simplify right side
    13,578.16x = 142,568,664.59
  5. Step 5: Solve for x
    x = 142,568,664.59/13,578.16
  6. Step 6: Final answer
    x = 10,499.85

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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.