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Finding the Fourth Proportional to 16,796.25, 23,178.96 and 9,344.25

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Solution

The fourth proportional to 16,796.25, 23,178.96 and 9,344.25 is: 12,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,796.25 : 23,178.96 = 9,344.25 : x
  2. Step 2: Convert to fraction form
    16,796.25/23,178.96 = 9,344.25/x
  3. Step 3: Cross multiply
    16,796.25x = 23,178.96 × 9,344.25
  4. Step 4: Simplify right side
    16,796.25x = 216,589,996.98
  5. Step 5: Solve for x
    x = 216,589,996.98/16,796.25
  6. Step 6: Final answer
    x = 12,895.14

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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.