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Finding the Fourth Proportional to 17,883.45, 26,809.20 and 6,782.60

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Solution

The fourth proportional to 17,883.45, 26,809.20 and 6,782.60 is: 10,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883.45 : 26,809.20 = 6,782.60 : x
  2. Step 2: Convert to fraction form
    17,883.45/26,809.20 = 6,782.60/x
  3. Step 3: Cross multiply
    17,883.45x = 26,809.20 × 6,782.60
  4. Step 4: Simplify right side
    17,883.45x = 181,836,146.94
  5. Step 5: Solve for x
    x = 181,836,146.94/17,883.45
  6. Step 6: Final answer
    x = 10,167.84

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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.