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Finding the Fourth Proportional to 23,969.36, 35,930.82 and 9,166.88

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Solution

The fourth proportional to 23,969.36, 35,930.82 and 9,166.88 is: 13,741.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969.36 : 35,930.82 = 9,166.88 : x
  2. Step 2: Convert to fraction form
    23,969.36/35,930.82 = 9,166.88/x
  3. Step 3: Cross multiply
    23,969.36x = 35,930.82 × 9,166.88
  4. Step 4: Simplify right side
    23,969.36x = 329,373,515.24
  5. Step 5: Solve for x
    x = 329,373,515.24/23,969.36
  6. Step 6: Final answer
    x = 13,741.44

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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.