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Finding the Fourth Proportional to 13,449.76, 20,175.70 and 4,090.58

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Solution

The fourth proportional to 13,449.76, 20,175.70 and 4,090.58 is: 6,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449.76 : 20,175.70 = 4,090.58 : x
  2. Step 2: Convert to fraction form
    13,449.76/20,175.70 = 4,090.58/x
  3. Step 3: Cross multiply
    13,449.76x = 20,175.70 × 4,090.58
  4. Step 4: Simplify right side
    13,449.76x = 82,530,314.91
  5. Step 5: Solve for x
    x = 82,530,314.91/13,449.76
  6. Step 6: Final answer
    x = 6,136.19

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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.