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Finding the Fourth Proportional to 23,710.67, 35,571.16 and 7,072.05

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Solution

The fourth proportional to 23,710.67, 35,571.16 and 7,072.05 is: 10,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.67 : 35,571.16 = 7,072.05 : x
  2. Step 2: Convert to fraction form
    23,710.67/35,571.16 = 7,072.05/x
  3. Step 3: Cross multiply
    23,710.67x = 35,571.16 × 7,072.05
  4. Step 4: Simplify right side
    23,710.67x = 251,561,022.08
  5. Step 5: Solve for x
    x = 251,561,022.08/23,710.67
  6. Step 6: Final answer
    x = 10,609.61

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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.