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Finding the Fourth Proportional to 19,546.27, 29,323.01 and 6,399.37

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Solution

The fourth proportional to 19,546.27, 29,323.01 and 6,399.37 is: 9,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.27 : 29,323.01 = 6,399.37 : x
  2. Step 2: Convert to fraction form
    19,546.27/29,323.01 = 6,399.37/x
  3. Step 3: Cross multiply
    19,546.27x = 29,323.01 × 6,399.37
  4. Step 4: Simplify right side
    19,546.27x = 187,648,790.50
  5. Step 5: Solve for x
    x = 187,648,790.50/19,546.27
  6. Step 6: Final answer
    x = 9,600.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.