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Finding the Fourth Proportional to 11,906.86, 16,398.14 and 11,648.60

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Solution

The fourth proportional to 11,906.86, 16,398.14 and 11,648.60 is: 16,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.86 : 16,398.14 = 11,648.60 : x
  2. Step 2: Convert to fraction form
    11,906.86/16,398.14 = 11,648.60/x
  3. Step 3: Cross multiply
    11,906.86x = 16,398.14 × 11,648.60
  4. Step 4: Simplify right side
    11,906.86x = 191,015,373.60
  5. Step 5: Solve for x
    x = 191,015,373.60/11,906.86
  6. Step 6: Final answer
    x = 16,042.46

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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.