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Finding the Fourth Proportional to 13,171.97, 19,755.02 and 3,809.94

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Solution

The fourth proportional to 13,171.97, 19,755.02 and 3,809.94 is: 5,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.97 : 19,755.02 = 3,809.94 : x
  2. Step 2: Convert to fraction form
    13,171.97/19,755.02 = 3,809.94/x
  3. Step 3: Cross multiply
    13,171.97x = 19,755.02 × 3,809.94
  4. Step 4: Simplify right side
    13,171.97x = 75,265,421.85
  5. Step 5: Solve for x
    x = 75,265,421.85/13,171.97
  6. Step 6: Final answer
    x = 5,714.06

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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.