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Finding the Fourth Proportional to 13,830.12, 20,745.09 and 8,285.04

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Solution

The fourth proportional to 13,830.12, 20,745.09 and 8,285.04 is: 12,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.12 : 20,745.09 = 8,285.04 : x
  2. Step 2: Convert to fraction form
    13,830.12/20,745.09 = 8,285.04/x
  3. Step 3: Cross multiply
    13,830.12x = 20,745.09 × 8,285.04
  4. Step 4: Simplify right side
    13,830.12x = 171,873,900.45
  5. Step 5: Solve for x
    x = 171,873,900.45/13,830.12
  6. Step 6: Final answer
    x = 12,427.51

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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.