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Finding the Fourth Proportional to 19,816.56, 29,734.58 and 7,969.84

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Solution

The fourth proportional to 19,816.56, 29,734.58 and 7,969.84 is: 11,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,816.56 : 29,734.58 = 7,969.84 : x
  2. Step 2: Convert to fraction form
    19,816.56/29,734.58 = 7,969.84/x
  3. Step 3: Cross multiply
    19,816.56x = 29,734.58 × 7,969.84
  4. Step 4: Simplify right side
    19,816.56x = 236,979,845.07
  5. Step 5: Solve for x
    x = 236,979,845.07/19,816.56
  6. Step 6: Final answer
    x = 11,958.68

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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.