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Finding the Fourth Proportional to 16,805.94, 23,191.79 and 9,252.21

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Solution

The fourth proportional to 16,805.94, 23,191.79 and 9,252.21 is: 12,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.94 : 23,191.79 = 9,252.21 : x
  2. Step 2: Convert to fraction form
    16,805.94/23,191.79 = 9,252.21/x
  3. Step 3: Cross multiply
    16,805.94x = 23,191.79 × 9,252.21
  4. Step 4: Simplify right side
    16,805.94x = 214,575,265.09
  5. Step 5: Solve for x
    x = 214,575,265.09/16,805.94
  6. Step 6: Final answer
    x = 12,767.82

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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.