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Finding the Fourth Proportional to 16,028.96, 22,119.24 and 8,954

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Solution

The fourth proportional to 16,028.96, 22,119.24 and 8,954 is: 12,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,028.96 : 22,119.24 = 8,954 : x
  2. Step 2: Convert to fraction form
    16,028.96/22,119.24 = 8,954/x
  3. Step 3: Cross multiply
    16,028.96x = 22,119.24 × 8,954
  4. Step 4: Simplify right side
    16,028.96x = 198,055,674.96
  5. Step 5: Solve for x
    x = 198,055,674.96/16,028.96
  6. Step 6: Final answer
    x = 12,356.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.