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Finding the Fourth Proportional to 13,771.42, 19,004.50 and 8,106.12

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Solution

The fourth proportional to 13,771.42, 19,004.50 and 8,106.12 is: 11,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.42 : 19,004.50 = 8,106.12 : x
  2. Step 2: Convert to fraction form
    13,771.42/19,004.50 = 8,106.12/x
  3. Step 3: Cross multiply
    13,771.42x = 19,004.50 × 8,106.12
  4. Step 4: Simplify right side
    13,771.42x = 154,052,757.54
  5. Step 5: Solve for x
    x = 154,052,757.54/13,771.42
  6. Step 6: Final answer
    x = 11,186.41

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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.