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Finding the Fourth Proportional to 13,986.09, 19,296.03 and 9,208.71

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Solution

The fourth proportional to 13,986.09, 19,296.03 and 9,208.71 is: 12,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.09 : 19,296.03 = 9,208.71 : x
  2. Step 2: Convert to fraction form
    13,986.09/19,296.03 = 9,208.71/x
  3. Step 3: Cross multiply
    13,986.09x = 19,296.03 × 9,208.71
  4. Step 4: Simplify right side
    13,986.09x = 177,691,544.42
  5. Step 5: Solve for x
    x = 177,691,544.42/13,986.09
  6. Step 6: Final answer
    x = 12,704.88

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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.