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Finding the Fourth Proportional to 19,578.54, 27,017.91 and 11,194.50

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Solution

The fourth proportional to 19,578.54, 27,017.91 and 11,194.50 is: 15,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578.54 : 27,017.91 = 11,194.50 : x
  2. Step 2: Convert to fraction form
    19,578.54/27,017.91 = 11,194.50/x
  3. Step 3: Cross multiply
    19,578.54x = 27,017.91 × 11,194.50
  4. Step 4: Simplify right side
    19,578.54x = 302,451,993.50
  5. Step 5: Solve for x
    x = 302,451,993.50/19,578.54
  6. Step 6: Final answer
    x = 15,448.14

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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.