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Finding the Fourth Proportional to 11,970.81, 16,523.46 and 7,194.24

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Solution

The fourth proportional to 11,970.81, 16,523.46 and 7,194.24 is: 9,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.81 : 16,523.46 = 7,194.24 : x
  2. Step 2: Convert to fraction form
    11,970.81/16,523.46 = 7,194.24/x
  3. Step 3: Cross multiply
    11,970.81x = 16,523.46 × 7,194.24
  4. Step 4: Simplify right side
    11,970.81x = 118,873,736.87
  5. Step 5: Solve for x
    x = 118,873,736.87/11,970.81
  6. Step 6: Final answer
    x = 9,930.30

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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.