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Finding the Fourth Proportional to 13,699.44, 20,556.36 and 5,906.16

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Solution

The fourth proportional to 13,699.44, 20,556.36 and 5,906.16 is: 8,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.44 : 20,556.36 = 5,906.16 : x
  2. Step 2: Convert to fraction form
    13,699.44/20,556.36 = 5,906.16/x
  3. Step 3: Cross multiply
    13,699.44x = 20,556.36 × 5,906.16
  4. Step 4: Simplify right side
    13,699.44x = 121,409,151.18
  5. Step 5: Solve for x
    x = 121,409,151.18/13,699.44
  6. Step 6: Final answer
    x = 8,862.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.