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Finding the Fourth Proportional to 13,090.41, 19,626.04 and 4,200.67

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Solution

The fourth proportional to 13,090.41, 19,626.04 and 4,200.67 is: 6,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.41 : 19,626.04 = 4,200.67 : x
  2. Step 2: Convert to fraction form
    13,090.41/19,626.04 = 4,200.67/x
  3. Step 3: Cross multiply
    13,090.41x = 19,626.04 × 4,200.67
  4. Step 4: Simplify right side
    13,090.41x = 82,442,517.45
  5. Step 5: Solve for x
    x = 82,442,517.45/13,090.41
  6. Step 6: Final answer
    x = 6,297.93

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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.