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Finding the Fourth Proportional to 19,578.25, 27,018.02 and 11,194.93

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Solution

The fourth proportional to 19,578.25, 27,018.02 and 11,194.93 is: 15,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578.25 : 27,018.02 = 11,194.93 : x
  2. Step 2: Convert to fraction form
    19,578.25/27,018.02 = 11,194.93/x
  3. Step 3: Cross multiply
    19,578.25x = 27,018.02 × 11,194.93
  4. Step 4: Simplify right side
    19,578.25x = 302,464,842.64
  5. Step 5: Solve for x
    x = 302,464,842.64/19,578.25
  6. Step 6: Final answer
    x = 15,449.02

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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.