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Finding the Fourth Proportional to 17,821.60, 26,738.80 and 17,181.60

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Solution

The fourth proportional to 17,821.60, 26,738.80 and 17,181.60 is: 25,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.60 : 26,738.80 = 17,181.60 : x
  2. Step 2: Convert to fraction form
    17,821.60/26,738.80 = 17,181.60/x
  3. Step 3: Cross multiply
    17,821.60x = 26,738.80 × 17,181.60
  4. Step 4: Simplify right side
    17,821.60x = 459,415,366.08
  5. Step 5: Solve for x
    x = 459,415,366.08/17,821.60
  6. Step 6: Final answer
    x = 25,778.57

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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.