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Finding the Fourth Proportional to 16,774.89, 23,149.09 and 9,221.06

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Solution

The fourth proportional to 16,774.89, 23,149.09 and 9,221.06 is: 12,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,774.89 : 23,149.09 = 9,221.06 : x
  2. Step 2: Convert to fraction form
    16,774.89/23,149.09 = 9,221.06/x
  3. Step 3: Cross multiply
    16,774.89x = 23,149.09 × 9,221.06
  4. Step 4: Simplify right side
    16,774.89x = 213,459,147.84
  5. Step 5: Solve for x
    x = 213,459,147.84/16,774.89
  6. Step 6: Final answer
    x = 12,724.92

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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.