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Finding the Fourth Proportional to 13,714.62, 20,579.37 and 5,821.57

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Solution

The fourth proportional to 13,714.62, 20,579.37 and 5,821.57 is: 8,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.62 : 20,579.37 = 5,821.57 : x
  2. Step 2: Convert to fraction form
    13,714.62/20,579.37 = 5,821.57/x
  3. Step 3: Cross multiply
    13,714.62x = 20,579.37 × 5,821.57
  4. Step 4: Simplify right side
    13,714.62x = 119,804,243.01
  5. Step 5: Solve for x
    x = 119,804,243.01/13,714.62
  6. Step 6: Final answer
    x = 8,735.51

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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.