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Finding the Fourth Proportional to 13,794.03, 19,027.17 and 8,414.01

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Solution

The fourth proportional to 13,794.03, 19,027.17 and 8,414.01 is: 11,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.03 : 19,027.17 = 8,414.01 : x
  2. Step 2: Convert to fraction form
    13,794.03/19,027.17 = 8,414.01/x
  3. Step 3: Cross multiply
    13,794.03x = 19,027.17 × 8,414.01
  4. Step 4: Simplify right side
    13,794.03x = 160,094,798.65
  5. Step 5: Solve for x
    x = 160,094,798.65/13,794.03
  6. Step 6: Final answer
    x = 11,606.09

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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.