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Finding the Fourth Proportional to 23,076.71, 34,615.07 and 7,494.33

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Solution

The fourth proportional to 23,076.71, 34,615.07 and 7,494.33 is: 11,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076.71 : 34,615.07 = 7,494.33 : x
  2. Step 2: Convert to fraction form
    23,076.71/34,615.07 = 7,494.33/x
  3. Step 3: Cross multiply
    23,076.71x = 34,615.07 × 7,494.33
  4. Step 4: Simplify right side
    23,076.71x = 259,416,720.08
  5. Step 5: Solve for x
    x = 259,416,720.08/23,076.71
  6. Step 6: Final answer
    x = 11,241.50

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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.