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Finding the Fourth Proportional to 13,162.69, 18,164.47 and 7,194.36

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Solution

The fourth proportional to 13,162.69, 18,164.47 and 7,194.36 is: 9,928.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.69 : 18,164.47 = 7,194.36 : x
  2. Step 2: Convert to fraction form
    13,162.69/18,164.47 = 7,194.36/x
  3. Step 3: Cross multiply
    13,162.69x = 18,164.47 × 7,194.36
  4. Step 4: Simplify right side
    13,162.69x = 130,681,736.39
  5. Step 5: Solve for x
    x = 130,681,736.39/13,162.69
  6. Step 6: Final answer
    x = 9,928.19

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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.