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Finding the Fourth Proportional to 23,865.27, 32,912.07 and 15,352.38

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Solution

The fourth proportional to 23,865.27, 32,912.07 and 15,352.38 is: 21,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,865.27 : 32,912.07 = 15,352.38 : x
  2. Step 2: Convert to fraction form
    23,865.27/32,912.07 = 15,352.38/x
  3. Step 3: Cross multiply
    23,865.27x = 32,912.07 × 15,352.38
  4. Step 4: Simplify right side
    23,865.27x = 505,278,605.23
  5. Step 5: Solve for x
    x = 505,278,605.23/23,865.27
  6. Step 6: Final answer
    x = 21,172.13

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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.