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Finding the Fourth Proportional to 24,361.66, 36,538.39 and 8,578.41

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Solution

The fourth proportional to 24,361.66, 36,538.39 and 8,578.41 is: 12,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,361.66 : 36,538.39 = 8,578.41 : x
  2. Step 2: Convert to fraction form
    24,361.66/36,538.39 = 8,578.41/x
  3. Step 3: Cross multiply
    24,361.66x = 36,538.39 × 8,578.41
  4. Step 4: Simplify right side
    24,361.66x = 313,441,163.86
  5. Step 5: Solve for x
    x = 313,441,163.86/24,361.66
  6. Step 6: Final answer
    x = 12,866.17

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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.