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Finding the Fourth Proportional to 13,755.90, 20,633.92 and 5,857.30

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Solution

The fourth proportional to 13,755.90, 20,633.92 and 5,857.30 is: 8,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.90 : 20,633.92 = 5,857.30 : x
  2. Step 2: Convert to fraction form
    13,755.90/20,633.92 = 5,857.30/x
  3. Step 3: Cross multiply
    13,755.90x = 20,633.92 × 5,857.30
  4. Step 4: Simplify right side
    13,755.90x = 120,859,059.62
  5. Step 5: Solve for x
    x = 120,859,059.62/13,755.90
  6. Step 6: Final answer
    x = 8,785.98

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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.