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Finding the Fourth Proportional to 13,205.26, 19,815.18 and 5,412.25

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Solution

The fourth proportional to 13,205.26, 19,815.18 and 5,412.25 is: 8,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.26 : 19,815.18 = 5,412.25 : x
  2. Step 2: Convert to fraction form
    13,205.26/19,815.18 = 5,412.25/x
  3. Step 3: Cross multiply
    13,205.26x = 19,815.18 × 5,412.25
  4. Step 4: Simplify right side
    13,205.26x = 107,244,707.96
  5. Step 5: Solve for x
    x = 107,244,707.96/13,205.26
  6. Step 6: Final answer
    x = 8,121.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.