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Finding the Fourth Proportional to 13,906.32, 19,189.92 and 8,241.60

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Solution

The fourth proportional to 13,906.32, 19,189.92 and 8,241.60 is: 11,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.32 : 19,189.92 = 8,241.60 : x
  2. Step 2: Convert to fraction form
    13,906.32/19,189.92 = 8,241.60/x
  3. Step 3: Cross multiply
    13,906.32x = 19,189.92 × 8,241.60
  4. Step 4: Simplify right side
    13,906.32x = 158,155,644.67
  5. Step 5: Solve for x
    x = 158,155,644.67/13,906.32
  6. Step 6: Final answer
    x = 11,372.93

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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.