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Finding the Fourth Proportional to 16,428.24, 22,669.74 and 9,353.25

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Solution

The fourth proportional to 16,428.24, 22,669.74 and 9,353.25 is: 12,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428.24 : 22,669.74 = 9,353.25 : x
  2. Step 2: Convert to fraction form
    16,428.24/22,669.74 = 9,353.25/x
  3. Step 3: Cross multiply
    16,428.24x = 22,669.74 × 9,353.25
  4. Step 4: Simplify right side
    16,428.24x = 212,035,745.66
  5. Step 5: Solve for x
    x = 212,035,745.66/16,428.24
  6. Step 6: Final answer
    x = 12,906.78

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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.