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Finding the Fourth Proportional to 19,906.85, 27,468.31 and 11,407.34

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Solution

The fourth proportional to 19,906.85, 27,468.31 and 11,407.34 is: 15,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906.85 : 27,468.31 = 11,407.34 : x
  2. Step 2: Convert to fraction form
    19,906.85/27,468.31 = 11,407.34/x
  3. Step 3: Cross multiply
    19,906.85x = 27,468.31 × 11,407.34
  4. Step 4: Simplify right side
    19,906.85x = 313,340,351.40
  5. Step 5: Solve for x
    x = 313,340,351.40/19,906.85
  6. Step 6: Final answer
    x = 15,740.33

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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.