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Finding the Fourth Proportional to 21,069, 31,603.50 and 8,586.27

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Solution

The fourth proportional to 21,069, 31,603.50 and 8,586.27 is: 12,879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,069 : 31,603.50 = 8,586.27 : x
  2. Step 2: Convert to fraction form
    21,069/31,603.50 = 8,586.27/x
  3. Step 3: Cross multiply
    21,069x = 31,603.50 × 8,586.27
  4. Step 4: Simplify right side
    21,069x = 271,356,183.95
  5. Step 5: Solve for x
    x = 271,356,183.95/21,069
  6. Step 6: Final answer
    x = 12,879.41

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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.