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Finding the Fourth Proportional to 23,969.36, 35,952.96 and 9,185.24

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Solution

The fourth proportional to 23,969.36, 35,952.96 and 9,185.24 is: 13,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969.36 : 35,952.96 = 9,185.24 : x
  2. Step 2: Convert to fraction form
    23,969.36/35,952.96 = 9,185.24/x
  3. Step 3: Cross multiply
    23,969.36x = 35,952.96 × 9,185.24
  4. Step 4: Simplify right side
    23,969.36x = 330,236,566.31
  5. Step 5: Solve for x
    x = 330,236,566.31/23,969.36
  6. Step 6: Final answer
    x = 13,777.45

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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.