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Finding the Fourth Proportional to 16,997.18, 25,488.58 and 9,098

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Solution

The fourth proportional to 16,997.18, 25,488.58 and 9,098 is: 13,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997.18 : 25,488.58 = 9,098 : x
  2. Step 2: Convert to fraction form
    16,997.18/25,488.58 = 9,098/x
  3. Step 3: Cross multiply
    16,997.18x = 25,488.58 × 9,098
  4. Step 4: Simplify right side
    16,997.18x = 231,895,100.84
  5. Step 5: Solve for x
    x = 231,895,100.84/16,997.18
  6. Step 6: Final answer
    x = 13,643.15

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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.