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Finding the Fourth Proportional to 13,090.86, 19,636.38 and 6,163.74

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Solution

The fourth proportional to 13,090.86, 19,636.38 and 6,163.74 is: 9,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.86 : 19,636.38 = 6,163.74 : x
  2. Step 2: Convert to fraction form
    13,090.86/19,636.38 = 6,163.74/x
  3. Step 3: Cross multiply
    13,090.86x = 19,636.38 × 6,163.74
  4. Step 4: Simplify right side
    13,090.86x = 121,033,540.86
  5. Step 5: Solve for x
    x = 121,033,540.86/13,090.86
  6. Step 6: Final answer
    x = 9,245.65

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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.