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Finding the Fourth Proportional to 23,965.36, 35,946.96 and 9,181.24

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Solution

The fourth proportional to 23,965.36, 35,946.96 and 9,181.24 is: 13,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,965.36 : 35,946.96 = 9,181.24 : x
  2. Step 2: Convert to fraction form
    23,965.36/35,946.96 = 9,181.24/x
  3. Step 3: Cross multiply
    23,965.36x = 35,946.96 × 9,181.24
  4. Step 4: Simplify right side
    23,965.36x = 330,037,667.03
  5. Step 5: Solve for x
    x = 330,037,667.03/23,965.36
  6. Step 6: Final answer
    x = 13,771.45

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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.