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Finding the Fourth Proportional to 19,650.56, 29,469.12 and 6,499.84

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Solution

The fourth proportional to 19,650.56, 29,469.12 and 6,499.84 is: 9,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,650.56 : 29,469.12 = 6,499.84 : x
  2. Step 2: Convert to fraction form
    19,650.56/29,469.12 = 6,499.84/x
  3. Step 3: Cross multiply
    19,650.56x = 29,469.12 × 6,499.84
  4. Step 4: Simplify right side
    19,650.56x = 191,544,564.94
  5. Step 5: Solve for x
    x = 191,544,564.94/19,650.56
  6. Step 6: Final answer
    x = 9,747.54

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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.