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Finding the Fourth Proportional to 19,600.34, 29,380.38 and 7,749.30

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Solution

The fourth proportional to 19,600.34, 29,380.38 and 7,749.30 is: 11,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,600.34 : 29,380.38 = 7,749.30 : x
  2. Step 2: Convert to fraction form
    19,600.34/29,380.38 = 7,749.30/x
  3. Step 3: Cross multiply
    19,600.34x = 29,380.38 × 7,749.30
  4. Step 4: Simplify right side
    19,600.34x = 227,677,378.73
  5. Step 5: Solve for x
    x = 227,677,378.73/19,600.34
  6. Step 6: Final answer
    x = 11,615.99

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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.