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Finding the Fourth Proportional to 13,771.08, 19,004.22 and 8,181

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Solution

The fourth proportional to 13,771.08, 19,004.22 and 8,181 is: 11,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.08 : 19,004.22 = 8,181 : x
  2. Step 2: Convert to fraction form
    13,771.08/19,004.22 = 8,181/x
  3. Step 3: Cross multiply
    13,771.08x = 19,004.22 × 8,181
  4. Step 4: Simplify right side
    13,771.08x = 155,473,523.82
  5. Step 5: Solve for x
    x = 155,473,523.82/13,771.08
  6. Step 6: Final answer
    x = 11,289.86

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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.