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Finding the Fourth Proportional to 16,805.36, 23,191.94 and 9,252.24

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Solution

The fourth proportional to 16,805.36, 23,191.94 and 9,252.24 is: 12,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.36 : 23,191.94 = 9,252.24 : x
  2. Step 2: Convert to fraction form
    16,805.36/23,191.94 = 9,252.24/x
  3. Step 3: Cross multiply
    16,805.36x = 23,191.94 × 9,252.24
  4. Step 4: Simplify right side
    16,805.36x = 214,577,418.08
  5. Step 5: Solve for x
    x = 214,577,418.08/16,805.36
  6. Step 6: Final answer
    x = 12,768.40

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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.