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Finding the Fourth Proportional to 16,712.80, 23,059.83 and 9,997.36

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Solution

The fourth proportional to 16,712.80, 23,059.83 and 9,997.36 is: 13,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,712.80 : 23,059.83 = 9,997.36 : x
  2. Step 2: Convert to fraction form
    16,712.80/23,059.83 = 9,997.36/x
  3. Step 3: Cross multiply
    16,712.80x = 23,059.83 × 9,997.36
  4. Step 4: Simplify right side
    16,712.80x = 230,537,422.05
  5. Step 5: Solve for x
    x = 230,537,422.05/16,712.80
  6. Step 6: Final answer
    x = 13,794.06

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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.