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Finding the Fourth Proportional to 19,745.77, 29,623.85 and 7,096.80

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Solution

The fourth proportional to 19,745.77, 29,623.85 and 7,096.80 is: 10,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745.77 : 29,623.85 = 7,096.80 : x
  2. Step 2: Convert to fraction form
    19,745.77/29,623.85 = 7,096.80/x
  3. Step 3: Cross multiply
    19,745.77x = 29,623.85 × 7,096.80
  4. Step 4: Simplify right side
    19,745.77x = 210,234,640.90
  5. Step 5: Solve for x
    x = 210,234,640.90/19,745.77
  6. Step 6: Final answer
    x = 10,647.07

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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.