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Finding the Fourth Proportional to 23,693.68, 32,659.44 and 16,137.44

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Solution

The fourth proportional to 23,693.68, 32,659.44 and 16,137.44 is: 22,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.68 : 32,659.44 = 16,137.44 : x
  2. Step 2: Convert to fraction form
    23,693.68/32,659.44 = 16,137.44/x
  3. Step 3: Cross multiply
    23,693.68x = 32,659.44 × 16,137.44
  4. Step 4: Simplify right side
    23,693.68x = 527,039,753.43
  5. Step 5: Solve for x
    x = 527,039,753.43/23,693.68
  6. Step 6: Final answer
    x = 22,243.90

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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.