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Finding the Fourth Proportional to 16,489.98, 22,758.17 and 9,416.25

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Solution

The fourth proportional to 16,489.98, 22,758.17 and 9,416.25 is: 12,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.98 : 22,758.17 = 9,416.25 : x
  2. Step 2: Convert to fraction form
    16,489.98/22,758.17 = 9,416.25/x
  3. Step 3: Cross multiply
    16,489.98x = 22,758.17 × 9,416.25
  4. Step 4: Simplify right side
    16,489.98x = 214,296,571.18
  5. Step 5: Solve for x
    x = 214,296,571.18/16,489.98
  6. Step 6: Final answer
    x = 12,995.56

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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.