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Finding the Fourth Proportional to 23,649.92, 32,633.82 and 13,578.80

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Solution

The fourth proportional to 23,649.92, 32,633.82 and 13,578.80 is: 18,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.92 : 32,633.82 = 13,578.80 : x
  2. Step 2: Convert to fraction form
    23,649.92/32,633.82 = 13,578.80/x
  3. Step 3: Cross multiply
    23,649.92x = 32,633.82 × 13,578.80
  4. Step 4: Simplify right side
    23,649.92x = 443,128,115.02
  5. Step 5: Solve for x
    x = 443,128,115.02/23,649.92
  6. Step 6: Final answer
    x = 18,736.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.