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Finding the Fourth Proportional to 20,049.67, 27,669 and 12,988.38

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Solution

The fourth proportional to 20,049.67, 27,669 and 12,988.38 is: 17,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.67 : 27,669 = 12,988.38 : x
  2. Step 2: Convert to fraction form
    20,049.67/27,669 = 12,988.38/x
  3. Step 3: Cross multiply
    20,049.67x = 27,669 × 12,988.38
  4. Step 4: Simplify right side
    20,049.67x = 359,375,486.22
  5. Step 5: Solve for x
    x = 359,375,486.22/20,049.67
  6. Step 6: Final answer
    x = 17,924.26

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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.