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Finding the Fourth Proportional to 13,105.72, 18,086.22 and 7,137.72

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Solution

The fourth proportional to 13,105.72, 18,086.22 and 7,137.72 is: 9,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.72 : 18,086.22 = 7,137.72 : x
  2. Step 2: Convert to fraction form
    13,105.72/18,086.22 = 7,137.72/x
  3. Step 3: Cross multiply
    13,105.72x = 18,086.22 × 7,137.72
  4. Step 4: Simplify right side
    13,105.72x = 129,094,374.22
  5. Step 5: Solve for x
    x = 129,094,374.22/13,105.72
  6. Step 6: Final answer
    x = 9,850.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.