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Finding the Fourth Proportional to 24,504.21, 36,742.41 and 22,414.41

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Solution

The fourth proportional to 24,504.21, 36,742.41 and 22,414.41 is: 33,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,504.21 : 36,742.41 = 22,414.41 : x
  2. Step 2: Convert to fraction form
    24,504.21/36,742.41 = 22,414.41/x
  3. Step 3: Cross multiply
    24,504.21x = 36,742.41 × 22,414.41
  4. Step 4: Simplify right side
    24,504.21x = 823,559,442.13
  5. Step 5: Solve for x
    x = 823,559,442.13/24,504.21
  6. Step 6: Final answer
    x = 33,608.90

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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.