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Finding the Fourth Proportional to 13,110.14, 18,092.21 and 7,141.82

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Solution

The fourth proportional to 13,110.14, 18,092.21 and 7,141.82 is: 9,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,110.14 : 18,092.21 = 7,141.82 : x
  2. Step 2: Convert to fraction form
    13,110.14/18,092.21 = 7,141.82/x
  3. Step 3: Cross multiply
    13,110.14x = 18,092.21 × 7,141.82
  4. Step 4: Simplify right side
    13,110.14x = 129,211,181.05
  5. Step 5: Solve for x
    x = 129,211,181.05/13,110.14
  6. Step 6: Final answer
    x = 9,855.82

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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.