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Finding the Fourth Proportional to 13,105.74, 18,086.14 and 7,137.53

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Solution

The fourth proportional to 13,105.74, 18,086.14 and 7,137.53 is: 9,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.74 : 18,086.14 = 7,137.53 : x
  2. Step 2: Convert to fraction form
    13,105.74/18,086.14 = 7,137.53/x
  3. Step 3: Cross multiply
    13,105.74x = 18,086.14 × 7,137.53
  4. Step 4: Simplify right side
    13,105.74x = 129,090,240.72
  5. Step 5: Solve for x
    x = 129,090,240.72/13,105.74
  6. Step 6: Final answer
    x = 9,849.90

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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.