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Finding the Fourth Proportional to 23,786.34, 35,684.52 and 8,994.93

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Solution

The fourth proportional to 23,786.34, 35,684.52 and 8,994.93 is: 13,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786.34 : 35,684.52 = 8,994.93 : x
  2. Step 2: Convert to fraction form
    23,786.34/35,684.52 = 8,994.93/x
  3. Step 3: Cross multiply
    23,786.34x = 35,684.52 × 8,994.93
  4. Step 4: Simplify right side
    23,786.34x = 320,979,759.48
  5. Step 5: Solve for x
    x = 320,979,759.48/23,786.34
  6. Step 6: Final answer
    x = 13,494.29

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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.