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Finding the Fourth Proportional to 23,976.66, 35,965.34 and 9,186.33

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Solution

The fourth proportional to 23,976.66, 35,965.34 and 9,186.33 is: 13,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,976.66 : 35,965.34 = 9,186.33 : x
  2. Step 2: Convert to fraction form
    23,976.66/35,965.34 = 9,186.33/x
  3. Step 3: Cross multiply
    23,976.66x = 35,965.34 × 9,186.33
  4. Step 4: Simplify right side
    23,976.66x = 330,389,435.87
  5. Step 5: Solve for x
    x = 330,389,435.87/23,976.66
  6. Step 6: Final answer
    x = 13,779.63

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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.