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Finding the Fourth Proportional to 23,847.78, 35,775.44 and 7,205.74

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Solution

The fourth proportional to 23,847.78, 35,775.44 and 7,205.74 is: 10,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.78 : 35,775.44 = 7,205.74 : x
  2. Step 2: Convert to fraction form
    23,847.78/35,775.44 = 7,205.74/x
  3. Step 3: Cross multiply
    23,847.78x = 35,775.44 × 7,205.74
  4. Step 4: Simplify right side
    23,847.78x = 257,788,519.03
  5. Step 5: Solve for x
    x = 257,788,519.03/23,847.78
  6. Step 6: Final answer
    x = 10,809.75

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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.