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Finding the Fourth Proportional to 23,847.60, 35,771.40 and 8,266.80

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Solution

The fourth proportional to 23,847.60, 35,771.40 and 8,266.80 is: 12,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.60 : 35,771.40 = 8,266.80 : x
  2. Step 2: Convert to fraction form
    23,847.60/35,771.40 = 8,266.80/x
  3. Step 3: Cross multiply
    23,847.60x = 35,771.40 × 8,266.80
  4. Step 4: Simplify right side
    23,847.60x = 295,715,009.52
  5. Step 5: Solve for x
    x = 295,715,009.52/23,847.60
  6. Step 6: Final answer
    x = 12,400.20

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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.