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Finding the Fourth Proportional to 23,611.85, 35,416.63 and 5,842.43

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Solution

The fourth proportional to 23,611.85, 35,416.63 and 5,842.43 is: 8,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611.85 : 35,416.63 = 5,842.43 : x
  2. Step 2: Convert to fraction form
    23,611.85/35,416.63 = 5,842.43/x
  3. Step 3: Cross multiply
    23,611.85x = 35,416.63 × 5,842.43
  4. Step 4: Simplify right side
    23,611.85x = 206,919,152.40
  5. Step 5: Solve for x
    x = 206,919,152.40/23,611.85
  6. Step 6: Final answer
    x = 8,763.36

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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.