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Finding the Fourth Proportional to 27,441.95, 41,165.36 and 11,427.95

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Solution

The fourth proportional to 27,441.95, 41,165.36 and 11,427.95 is: 17,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441.95 : 41,165.36 = 11,427.95 : x
  2. Step 2: Convert to fraction form
    27,441.95/41,165.36 = 11,427.95/x
  3. Step 3: Cross multiply
    27,441.95x = 41,165.36 × 11,427.95
  4. Step 4: Simplify right side
    27,441.95x = 470,435,412.85
  5. Step 5: Solve for x
    x = 470,435,412.85/27,441.95
  6. Step 6: Final answer
    x = 17,142.93

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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.