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Finding the Fourth Proportional to 23,852.98, 35,785.84 and 8,270.60

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Solution

The fourth proportional to 23,852.98, 35,785.84 and 8,270.60 is: 12,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.98 : 35,785.84 = 8,270.60 : x
  2. Step 2: Convert to fraction form
    23,852.98/35,785.84 = 8,270.60/x
  3. Step 3: Cross multiply
    23,852.98x = 35,785.84 × 8,270.60
  4. Step 4: Simplify right side
    23,852.98x = 295,970,368.30
  5. Step 5: Solve for x
    x = 295,970,368.30/23,852.98
  6. Step 6: Final answer
    x = 12,408.11

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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.