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Finding the Fourth Proportional to 13,558.53, 20,336.43 and 6,161

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Solution

The fourth proportional to 13,558.53, 20,336.43 and 6,161 is: 9,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,558.53 : 20,336.43 = 6,161 : x
  2. Step 2: Convert to fraction form
    13,558.53/20,336.43 = 6,161/x
  3. Step 3: Cross multiply
    13,558.53x = 20,336.43 × 6,161
  4. Step 4: Simplify right side
    13,558.53x = 125,292,745.23
  5. Step 5: Solve for x
    x = 125,292,745.23/13,558.53
  6. Step 6: Final answer
    x = 9,240.88

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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.