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Finding the Fourth Proportional to 13,205.56, 19,809 and 3,344.92

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Solution

The fourth proportional to 13,205.56, 19,809 and 3,344.92 is: 5,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.56 : 19,809 = 3,344.92 : x
  2. Step 2: Convert to fraction form
    13,205.56/19,809 = 3,344.92/x
  3. Step 3: Cross multiply
    13,205.56x = 19,809 × 3,344.92
  4. Step 4: Simplify right side
    13,205.56x = 66,259,520.28
  5. Step 5: Solve for x
    x = 66,259,520.28/13,205.56
  6. Step 6: Final answer
    x = 5,017.55

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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.