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Finding the Fourth Proportional to 29,174.88, 43,764.46 and 8,400

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Solution

The fourth proportional to 29,174.88, 43,764.46 and 8,400 is: 12,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,174.88 : 43,764.46 = 8,400 : x
  2. Step 2: Convert to fraction form
    29,174.88/43,764.46 = 8,400/x
  3. Step 3: Cross multiply
    29,174.88x = 43,764.46 × 8,400
  4. Step 4: Simplify right side
    29,174.88x = 367,621,464
  5. Step 5: Solve for x
    x = 367,621,464/29,174.88
  6. Step 6: Final answer
    x = 12,600.62

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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.