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Finding the Fourth Proportional to 12,873.72, 17,768.50 and 7,839.60

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Solution

The fourth proportional to 12,873.72, 17,768.50 and 7,839.60 is: 10,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.72 : 17,768.50 = 7,839.60 : x
  2. Step 2: Convert to fraction form
    12,873.72/17,768.50 = 7,839.60/x
  3. Step 3: Cross multiply
    12,873.72x = 17,768.50 × 7,839.60
  4. Step 4: Simplify right side
    12,873.72x = 139,297,932.60
  5. Step 5: Solve for x
    x = 139,297,932.60/12,873.72
  6. Step 6: Final answer
    x = 10,820.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.