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Finding the Fourth Proportional to 23,134.36, 34,703.56 and 6,494.54

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Solution

The fourth proportional to 23,134.36, 34,703.56 and 6,494.54 is: 9,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.36 : 34,703.56 = 6,494.54 : x
  2. Step 2: Convert to fraction form
    23,134.36/34,703.56 = 6,494.54/x
  3. Step 3: Cross multiply
    23,134.36x = 34,703.56 × 6,494.54
  4. Step 4: Simplify right side
    23,134.36x = 225,383,658.56
  5. Step 5: Solve for x
    x = 225,383,658.56/23,134.36
  6. Step 6: Final answer
    x = 9,742.38

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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.