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Finding the Fourth Proportional to 19,794.14, 27,316.13 and 11,297.40

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Solution

The fourth proportional to 19,794.14, 27,316.13 and 11,297.40 is: 15,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794.14 : 27,316.13 = 11,297.40 : x
  2. Step 2: Convert to fraction form
    19,794.14/27,316.13 = 11,297.40/x
  3. Step 3: Cross multiply
    19,794.14x = 27,316.13 × 11,297.40
  4. Step 4: Simplify right side
    19,794.14x = 308,601,247.06
  5. Step 5: Solve for x
    x = 308,601,247.06/19,794.14
  6. Step 6: Final answer
    x = 15,590.54

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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.