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Finding the Fourth Proportional to 13,853.54, 19,115.35 and 8,189.21

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Solution

The fourth proportional to 13,853.54, 19,115.35 and 8,189.21 is: 11,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.54 : 19,115.35 = 8,189.21 : x
  2. Step 2: Convert to fraction form
    13,853.54/19,115.35 = 8,189.21/x
  3. Step 3: Cross multiply
    13,853.54x = 19,115.35 × 8,189.21
  4. Step 4: Simplify right side
    13,853.54x = 156,539,642.69
  5. Step 5: Solve for x
    x = 156,539,642.69/13,853.54
  6. Step 6: Final answer
    x = 11,299.61

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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.