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Finding the Fourth Proportional to 26,802.28, 36,971.94 and 16,849

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Solution

The fourth proportional to 26,802.28, 36,971.94 and 16,849 is: 23,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,802.28 : 36,971.94 = 16,849 : x
  2. Step 2: Convert to fraction form
    26,802.28/36,971.94 = 16,849/x
  3. Step 3: Cross multiply
    26,802.28x = 36,971.94 × 16,849
  4. Step 4: Simplify right side
    26,802.28x = 622,940,217.06
  5. Step 5: Solve for x
    x = 622,940,217.06/26,802.28
  6. Step 6: Final answer
    x = 23,242.06

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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.