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Finding the Fourth Proportional to 17,737.54, 26,599.38 and 7,745.34

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Solution

The fourth proportional to 17,737.54, 26,599.38 and 7,745.34 is: 11,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.54 : 26,599.38 = 7,745.34 : x
  2. Step 2: Convert to fraction form
    17,737.54/26,599.38 = 7,745.34/x
  3. Step 3: Cross multiply
    17,737.54x = 26,599.38 × 7,745.34
  4. Step 4: Simplify right side
    17,737.54x = 206,021,108.89
  5. Step 5: Solve for x
    x = 206,021,108.89/17,737.54
  6. Step 6: Final answer
    x = 11,614.98

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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.