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Finding the Fourth Proportional to 17,884.94, 26,827.54 and 6,788.63

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Solution

The fourth proportional to 17,884.94, 26,827.54 and 6,788.63 is: 10,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.94 : 26,827.54 = 6,788.63 : x
  2. Step 2: Convert to fraction form
    17,884.94/26,827.54 = 6,788.63/x
  3. Step 3: Cross multiply
    17,884.94x = 26,827.54 × 6,788.63
  4. Step 4: Simplify right side
    17,884.94x = 182,122,292.97
  5. Step 5: Solve for x
    x = 182,122,292.97/17,884.94
  6. Step 6: Final answer
    x = 10,183.00

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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.