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Finding the Fourth Proportional to 23,967.09, 35,954.28 and 8,383.50

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Solution

The fourth proportional to 23,967.09, 35,954.28 and 8,383.50 is: 12,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967.09 : 35,954.28 = 8,383.50 : x
  2. Step 2: Convert to fraction form
    23,967.09/35,954.28 = 8,383.50/x
  3. Step 3: Cross multiply
    23,967.09x = 35,954.28 × 8,383.50
  4. Step 4: Simplify right side
    23,967.09x = 301,422,706.38
  5. Step 5: Solve for x
    x = 301,422,706.38/23,967.09
  6. Step 6: Final answer
    x = 12,576.52

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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.