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Finding the Fourth Proportional to 19,830.96, 29,745.63 and 8,143.88

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Solution

The fourth proportional to 19,830.96, 29,745.63 and 8,143.88 is: 12,215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.96 : 29,745.63 = 8,143.88 : x
  2. Step 2: Convert to fraction form
    19,830.96/29,745.63 = 8,143.88/x
  3. Step 3: Cross multiply
    19,830.96x = 29,745.63 × 8,143.88
  4. Step 4: Simplify right side
    19,830.96x = 242,244,692.52
  5. Step 5: Solve for x
    x = 242,244,692.52/19,830.96
  6. Step 6: Final answer
    x = 12,215.48

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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.