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Finding the Fourth Proportional to 13,778.26, 20,656.99 and 7,107.61

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Solution

The fourth proportional to 13,778.26, 20,656.99 and 7,107.61 is: 10,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.26 : 20,656.99 = 7,107.61 : x
  2. Step 2: Convert to fraction form
    13,778.26/20,656.99 = 7,107.61/x
  3. Step 3: Cross multiply
    13,778.26x = 20,656.99 × 7,107.61
  4. Step 4: Simplify right side
    13,778.26x = 146,821,759.28
  5. Step 5: Solve for x
    x = 146,821,759.28/13,778.26
  6. Step 6: Final answer
    x = 10,656.05

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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.