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Finding the Fourth Proportional to 13,494.21, 20,240.52 and 5,173.89

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Solution

The fourth proportional to 13,494.21, 20,240.52 and 5,173.89 is: 7,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.21 : 20,240.52 = 5,173.89 : x
  2. Step 2: Convert to fraction form
    13,494.21/20,240.52 = 5,173.89/x
  3. Step 3: Cross multiply
    13,494.21x = 20,240.52 × 5,173.89
  4. Step 4: Simplify right side
    13,494.21x = 104,722,224.02
  5. Step 5: Solve for x
    x = 104,722,224.02/13,494.21
  6. Step 6: Final answer
    x = 7,760.53

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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.