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Finding the Fourth Proportional to 13,986, 20,974.14 and 5,216.13

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Solution

The fourth proportional to 13,986, 20,974.14 and 5,216.13 is: 7,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986 : 20,974.14 = 5,216.13 : x
  2. Step 2: Convert to fraction form
    13,986/20,974.14 = 5,216.13/x
  3. Step 3: Cross multiply
    13,986x = 20,974.14 × 5,216.13
  4. Step 4: Simplify right side
    13,986x = 109,403,840.88
  5. Step 5: Solve for x
    x = 109,403,840.88/13,986
  6. Step 6: Final answer
    x = 7,822.38

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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.