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Finding the Fourth Proportional to 16,997.34, 25,496.97 and 7,137.06

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Solution

The fourth proportional to 16,997.34, 25,496.97 and 7,137.06 is: 10,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997.34 : 25,496.97 = 7,137.06 : x
  2. Step 2: Convert to fraction form
    16,997.34/25,496.97 = 7,137.06/x
  3. Step 3: Cross multiply
    16,997.34x = 25,496.97 × 7,137.06
  4. Step 4: Simplify right side
    16,997.34x = 181,973,404.71
  5. Step 5: Solve for x
    x = 181,973,404.71/16,997.34
  6. Step 6: Final answer
    x = 10,705.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.