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Finding the Fourth Proportional to 16,821.65, 23,201.51 and 10,850.33

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Solution

The fourth proportional to 16,821.65, 23,201.51 and 10,850.33 is: 14,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.65 : 23,201.51 = 10,850.33 : x
  2. Step 2: Convert to fraction form
    16,821.65/23,201.51 = 10,850.33/x
  3. Step 3: Cross multiply
    16,821.65x = 23,201.51 × 10,850.33
  4. Step 4: Simplify right side
    16,821.65x = 251,743,985.75
  5. Step 5: Solve for x
    x = 251,743,985.75/16,821.65
  6. Step 6: Final answer
    x = 14,965.48

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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.