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Finding the Fourth Proportional to 12,997.31, 17,936.32 and 7,029.02

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Solution

The fourth proportional to 12,997.31, 17,936.32 and 7,029.02 is: 9,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.31 : 17,936.32 = 7,029.02 : x
  2. Step 2: Convert to fraction form
    12,997.31/17,936.32 = 7,029.02/x
  3. Step 3: Cross multiply
    12,997.31x = 17,936.32 × 7,029.02
  4. Step 4: Simplify right side
    12,997.31x = 126,074,644.75
  5. Step 5: Solve for x
    x = 126,074,644.75/12,997.31
  6. Step 6: Final answer
    x = 9,700.06

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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.