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Finding the Fourth Proportional to 16,805.57, 23,197.07 and 10,096.34

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Solution

The fourth proportional to 16,805.57, 23,197.07 and 10,096.34 is: 13,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.57 : 23,197.07 = 10,096.34 : x
  2. Step 2: Convert to fraction form
    16,805.57/23,197.07 = 10,096.34/x
  3. Step 3: Cross multiply
    16,805.57x = 23,197.07 × 10,096.34
  4. Step 4: Simplify right side
    16,805.57x = 234,205,455.24
  5. Step 5: Solve for x
    x = 234,205,455.24/16,805.57
  6. Step 6: Final answer
    x = 13,936.18

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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.