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Finding the Fourth Proportional to 17,823.96, 26,745.17 and 7,835.72

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Solution

The fourth proportional to 17,823.96, 26,745.17 and 7,835.72 is: 11,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.96 : 26,745.17 = 7,835.72 : x
  2. Step 2: Convert to fraction form
    17,823.96/26,745.17 = 7,835.72/x
  3. Step 3: Cross multiply
    17,823.96x = 26,745.17 × 7,835.72
  4. Step 4: Simplify right side
    17,823.96x = 209,567,490.57
  5. Step 5: Solve for x
    x = 209,567,490.57/17,823.96
  6. Step 6: Final answer
    x = 11,757.63

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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.