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Finding the Fourth Proportional to 16,805.97, 23,192.78 and 9,253.07

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Solution

The fourth proportional to 16,805.97, 23,192.78 and 9,253.07 is: 12,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.97 : 23,192.78 = 9,253.07 : x
  2. Step 2: Convert to fraction form
    16,805.97/23,192.78 = 9,253.07/x
  3. Step 3: Cross multiply
    16,805.97x = 23,192.78 × 9,253.07
  4. Step 4: Simplify right side
    16,805.97x = 214,604,254.61
  5. Step 5: Solve for x
    x = 214,604,254.61/16,805.97
  6. Step 6: Final answer
    x = 12,769.53

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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.