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Finding the Fourth Proportional to 13,782.56, 20,675.22 and 4,420.24

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Solution

The fourth proportional to 13,782.56, 20,675.22 and 4,420.24 is: 6,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.56 : 20,675.22 = 4,420.24 : x
  2. Step 2: Convert to fraction form
    13,782.56/20,675.22 = 4,420.24/x
  3. Step 3: Cross multiply
    13,782.56x = 20,675.22 × 4,420.24
  4. Step 4: Simplify right side
    13,782.56x = 91,389,434.45
  5. Step 5: Solve for x
    x = 91,389,434.45/13,782.56
  6. Step 6: Final answer
    x = 6,630.80

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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.