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Finding the Fourth Proportional to 19,829.24, 29,745.48 and 8,142.56

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Solution

The fourth proportional to 19,829.24, 29,745.48 and 8,142.56 is: 12,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.24 : 29,745.48 = 8,142.56 : x
  2. Step 2: Convert to fraction form
    19,829.24/29,745.48 = 8,142.56/x
  3. Step 3: Cross multiply
    19,829.24x = 29,745.48 × 8,142.56
  4. Step 4: Simplify right side
    19,829.24x = 242,204,355.63
  5. Step 5: Solve for x
    x = 242,204,355.63/19,829.24
  6. Step 6: Final answer
    x = 12,214.51

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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.