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Finding the Fourth Proportional to 16,892.75, 23,314.31 and 9,722.52

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Solution

The fourth proportional to 16,892.75, 23,314.31 and 9,722.52 is: 13,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,892.75 : 23,314.31 = 9,722.52 : x
  2. Step 2: Convert to fraction form
    16,892.75/23,314.31 = 9,722.52/x
  3. Step 3: Cross multiply
    16,892.75x = 23,314.31 × 9,722.52
  4. Step 4: Simplify right side
    16,892.75x = 226,673,728.69
  5. Step 5: Solve for x
    x = 226,673,728.69/16,892.75
  6. Step 6: Final answer
    x = 13,418.41

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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.