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Finding the Fourth Proportional to 17,782.63, 26,676.86 and 6,690.24

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Solution

The fourth proportional to 17,782.63, 26,676.86 and 6,690.24 is: 10,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.63 : 26,676.86 = 6,690.24 : x
  2. Step 2: Convert to fraction form
    17,782.63/26,676.86 = 6,690.24/x
  3. Step 3: Cross multiply
    17,782.63x = 26,676.86 × 6,690.24
  4. Step 4: Simplify right side
    17,782.63x = 178,474,562.40
  5. Step 5: Solve for x
    x = 178,474,562.40/17,782.63
  6. Step 6: Final answer
    x = 10,036.46

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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.