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Finding the Fourth Proportional to 13,783.50, 20,675.66 and 3,395.25

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Solution

The fourth proportional to 13,783.50, 20,675.66 and 3,395.25 is: 5,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.50 : 20,675.66 = 3,395.25 : x
  2. Step 2: Convert to fraction form
    13,783.50/20,675.66 = 3,395.25/x
  3. Step 3: Cross multiply
    13,783.50x = 20,675.66 × 3,395.25
  4. Step 4: Simplify right side
    13,783.50x = 70,199,017.64
  5. Step 5: Solve for x
    x = 70,199,017.64/13,783.50
  6. Step 6: Final answer
    x = 5,092.97

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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.