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Finding the Fourth Proportional to 23,770.26, 35,649.99 and 10,615.50

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Solution

The fourth proportional to 23,770.26, 35,649.99 and 10,615.50 is: 15,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.26 : 35,649.99 = 10,615.50 : x
  2. Step 2: Convert to fraction form
    23,770.26/35,649.99 = 10,615.50/x
  3. Step 3: Cross multiply
    23,770.26x = 35,649.99 × 10,615.50
  4. Step 4: Simplify right side
    23,770.26x = 378,442,468.85
  5. Step 5: Solve for x
    x = 378,442,468.85/23,770.26
  6. Step 6: Final answer
    x = 15,920.84

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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.