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Finding the Fourth Proportional to 23,529.54, 32,447.94 and 15,889.62

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Solution

The fourth proportional to 23,529.54, 32,447.94 and 15,889.62 is: 21,912.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529.54 : 32,447.94 = 15,889.62 : x
  2. Step 2: Convert to fraction form
    23,529.54/32,447.94 = 15,889.62/x
  3. Step 3: Cross multiply
    23,529.54x = 32,447.94 × 15,889.62
  4. Step 4: Simplify right side
    23,529.54x = 515,585,436.38
  5. Step 5: Solve for x
    x = 515,585,436.38/23,529.54
  6. Step 6: Final answer
    x = 21,912.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.