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Finding the Fourth Proportional to 13,644.48, 20,474.62 and 5,746.44

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Solution

The fourth proportional to 13,644.48, 20,474.62 and 5,746.44 is: 8,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.48 : 20,474.62 = 5,746.44 : x
  2. Step 2: Convert to fraction form
    13,644.48/20,474.62 = 5,746.44/x
  3. Step 3: Cross multiply
    13,644.48x = 20,474.62 × 5,746.44
  4. Step 4: Simplify right side
    13,644.48x = 117,656,160.99
  5. Step 5: Solve for x
    x = 117,656,160.99/13,644.48
  6. Step 6: Final answer
    x = 8,622.99

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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.