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Finding the Fourth Proportional to 17,144.88, 23,617.68 and 14,618.80

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Solution

The fourth proportional to 17,144.88, 23,617.68 and 14,618.80 is: 20,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,144.88 : 23,617.68 = 14,618.80 : x
  2. Step 2: Convert to fraction form
    17,144.88/23,617.68 = 14,618.80/x
  3. Step 3: Cross multiply
    17,144.88x = 23,617.68 × 14,618.80
  4. Step 4: Simplify right side
    17,144.88x = 345,262,140.38
  5. Step 5: Solve for x
    x = 345,262,140.38/17,144.88
  6. Step 6: Final answer
    x = 20,137.92

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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.