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Finding the Fourth Proportional to 16,133.18, 22,278.44 and 12,147.37

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Solution

The fourth proportional to 16,133.18, 22,278.44 and 12,147.37 is: 16,774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.18 : 22,278.44 = 12,147.37 : x
  2. Step 2: Convert to fraction form
    16,133.18/22,278.44 = 12,147.37/x
  3. Step 3: Cross multiply
    16,133.18x = 22,278.44 × 12,147.37
  4. Step 4: Simplify right side
    16,133.18x = 270,624,428.38
  5. Step 5: Solve for x
    x = 270,624,428.38/16,133.18
  6. Step 6: Final answer
    x = 16,774.41

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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.