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Finding the Fourth Proportional to 16,814.25, 23,203.67 and 9,744.77

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Solution

The fourth proportional to 16,814.25, 23,203.67 and 9,744.77 is: 13,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.25 : 23,203.67 = 9,744.77 : x
  2. Step 2: Convert to fraction form
    16,814.25/23,203.67 = 9,744.77/x
  3. Step 3: Cross multiply
    16,814.25x = 23,203.67 × 9,744.77
  4. Step 4: Simplify right side
    16,814.25x = 226,114,436.59
  5. Step 5: Solve for x
    x = 226,114,436.59/16,814.25
  6. Step 6: Final answer
    x = 13,447.79

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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.