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Finding the Fourth Proportional to 16,744.16, 23,103.06 and 10,028.54

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Solution

The fourth proportional to 16,744.16, 23,103.06 and 10,028.54 is: 13,837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744.16 : 23,103.06 = 10,028.54 : x
  2. Step 2: Convert to fraction form
    16,744.16/23,103.06 = 10,028.54/x
  3. Step 3: Cross multiply
    16,744.16x = 23,103.06 × 10,028.54
  4. Step 4: Simplify right side
    16,744.16x = 231,689,961.33
  5. Step 5: Solve for x
    x = 231,689,961.33/16,744.16
  6. Step 6: Final answer
    x = 13,837.06

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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.