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Finding the Fourth Proportional to 13,558.26, 20,321.76 and 5,234.58

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Solution

The fourth proportional to 13,558.26, 20,321.76 and 5,234.58 is: 7,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,558.26 : 20,321.76 = 5,234.58 : x
  2. Step 2: Convert to fraction form
    13,558.26/20,321.76 = 5,234.58/x
  3. Step 3: Cross multiply
    13,558.26x = 20,321.76 × 5,234.58
  4. Step 4: Simplify right side
    13,558.26x = 106,375,878.46
  5. Step 5: Solve for x
    x = 106,375,878.46/13,558.26
  6. Step 6: Final answer
    x = 7,845.84

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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.