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Finding the Fourth Proportional to 23,939.50, 35,913.14 and 7,074.22

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Solution

The fourth proportional to 23,939.50, 35,913.14 and 7,074.22 is: 10,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,939.50 : 35,913.14 = 7,074.22 : x
  2. Step 2: Convert to fraction form
    23,939.50/35,913.14 = 7,074.22/x
  3. Step 3: Cross multiply
    23,939.50x = 35,913.14 × 7,074.22
  4. Step 4: Simplify right side
    23,939.50x = 254,057,453.25
  5. Step 5: Solve for x
    x = 254,057,453.25/23,939.50
  6. Step 6: Final answer
    x = 10,612.48

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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.