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Finding the Fourth Proportional to 13,811.54, 19,059.39 and 8,442.97

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Solution

The fourth proportional to 13,811.54, 19,059.39 and 8,442.97 is: 11,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.54 : 19,059.39 = 8,442.97 : x
  2. Step 2: Convert to fraction form
    13,811.54/19,059.39 = 8,442.97/x
  3. Step 3: Cross multiply
    13,811.54x = 19,059.39 × 8,442.97
  4. Step 4: Simplify right side
    13,811.54x = 160,917,720.48
  5. Step 5: Solve for x
    x = 160,917,720.48/13,811.54
  6. Step 6: Final answer
    x = 11,650.96

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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.