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Finding the Fourth Proportional to 23,851.40, 35,778.11 and 8,056.80

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Solution

The fourth proportional to 23,851.40, 35,778.11 and 8,056.80 is: 12,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.40 : 35,778.11 = 8,056.80 : x
  2. Step 2: Convert to fraction form
    23,851.40/35,778.11 = 8,056.80/x
  3. Step 3: Cross multiply
    23,851.40x = 35,778.11 × 8,056.80
  4. Step 4: Simplify right side
    23,851.40x = 288,257,036.36
  5. Step 5: Solve for x
    x = 288,257,036.36/23,851.40
  6. Step 6: Final answer
    x = 12,085.54

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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.