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Finding the Fourth Proportional to 19,693.26, 27,178.32 and 11,198.04

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Solution

The fourth proportional to 19,693.26, 27,178.32 and 11,198.04 is: 15,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.26 : 27,178.32 = 11,198.04 : x
  2. Step 2: Convert to fraction form
    19,693.26/27,178.32 = 11,198.04/x
  3. Step 3: Cross multiply
    19,693.26x = 27,178.32 × 11,198.04
  4. Step 4: Simplify right side
    19,693.26x = 304,343,914.49
  5. Step 5: Solve for x
    x = 304,343,914.49/19,693.26
  6. Step 6: Final answer
    x = 15,454.22

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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.