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Finding the Fourth Proportional to 13,745.56, 20,617.31 and 4,385.20

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Solution

The fourth proportional to 13,745.56, 20,617.31 and 4,385.20 is: 6,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.56 : 20,617.31 = 4,385.20 : x
  2. Step 2: Convert to fraction form
    13,745.56/20,617.31 = 4,385.20/x
  3. Step 3: Cross multiply
    13,745.56x = 20,617.31 × 4,385.20
  4. Step 4: Simplify right side
    13,745.56x = 90,411,027.81
  5. Step 5: Solve for x
    x = 90,411,027.81/13,745.56
  6. Step 6: Final answer
    x = 6,577.47

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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.