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Finding the Fourth Proportional to 14,446.98, 19,940.13 and 8,161.38

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Solution

The fourth proportional to 14,446.98, 19,940.13 and 8,161.38 is: 11,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.98 : 19,940.13 = 8,161.38 : x
  2. Step 2: Convert to fraction form
    14,446.98/19,940.13 = 8,161.38/x
  3. Step 3: Cross multiply
    14,446.98x = 19,940.13 × 8,161.38
  4. Step 4: Simplify right side
    14,446.98x = 162,738,978.18
  5. Step 5: Solve for x
    x = 162,738,978.18/14,446.98
  6. Step 6: Final answer
    x = 11,264.57

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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.