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Finding the Fourth Proportional to 17,823.72, 26,736.96 and 5,977.56

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Solution

The fourth proportional to 17,823.72, 26,736.96 and 5,977.56 is: 8,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.72 : 26,736.96 = 5,977.56 : x
  2. Step 2: Convert to fraction form
    17,823.72/26,736.96 = 5,977.56/x
  3. Step 3: Cross multiply
    17,823.72x = 26,736.96 × 5,977.56
  4. Step 4: Simplify right side
    17,823.72x = 159,821,782.62
  5. Step 5: Solve for x
    x = 159,821,782.62/17,823.72
  6. Step 6: Final answer
    x = 8,966.80

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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.