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Finding the Fourth Proportional to 23,893.26, 35,847.12 and 9,654.42

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Solution

The fourth proportional to 23,893.26, 35,847.12 and 9,654.42 is: 14,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.26 : 35,847.12 = 9,654.42 : x
  2. Step 2: Convert to fraction form
    23,893.26/35,847.12 = 9,654.42/x
  3. Step 3: Cross multiply
    23,893.26x = 35,847.12 × 9,654.42
  4. Step 4: Simplify right side
    23,893.26x = 346,083,152.27
  5. Step 5: Solve for x
    x = 346,083,152.27/23,893.26
  6. Step 6: Final answer
    x = 14,484.55

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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.