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Finding the Fourth Proportional to 16,727.82, 23,084.82 and 10,020.48

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Solution

The fourth proportional to 16,727.82, 23,084.82 and 10,020.48 is: 13,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,727.82 : 23,084.82 = 10,020.48 : x
  2. Step 2: Convert to fraction form
    16,727.82/23,084.82 = 10,020.48/x
  3. Step 3: Cross multiply
    16,727.82x = 23,084.82 × 10,020.48
  4. Step 4: Simplify right side
    16,727.82x = 231,320,977.11
  5. Step 5: Solve for x
    x = 231,320,977.11/16,727.82
  6. Step 6: Final answer
    x = 13,828.52

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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.