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Finding the Fourth Proportional to 23,893.50, 32,976.69 and 14,467.53

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Solution

The fourth proportional to 23,893.50, 32,976.69 and 14,467.53 is: 19,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.50 : 32,976.69 = 14,467.53 : x
  2. Step 2: Convert to fraction form
    23,893.50/32,976.69 = 14,467.53/x
  3. Step 3: Cross multiply
    23,893.50x = 32,976.69 × 14,467.53
  4. Step 4: Simplify right side
    23,893.50x = 477,091,251.88
  5. Step 5: Solve for x
    x = 477,091,251.88/23,893.50
  6. Step 6: Final answer
    x = 19,967.41

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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.