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Finding the Fourth Proportional to 16,838.68, 23,227.86 and 10,540.12

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Solution

The fourth proportional to 16,838.68, 23,227.86 and 10,540.12 is: 14,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.68 : 23,227.86 = 10,540.12 : x
  2. Step 2: Convert to fraction form
    16,838.68/23,227.86 = 10,540.12/x
  3. Step 3: Cross multiply
    16,838.68x = 23,227.86 × 10,540.12
  4. Step 4: Simplify right side
    16,838.68x = 244,824,431.74
  5. Step 5: Solve for x
    x = 244,824,431.74/16,838.68
  6. Step 6: Final answer
    x = 14,539.41

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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.