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Finding the Fourth Proportional to 20,016.38, 29,878 and 17,651.84

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Solution

The fourth proportional to 20,016.38, 29,878 and 17,651.84 is: 26,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,016.38 : 29,878 = 17,651.84 : x
  2. Step 2: Convert to fraction form
    20,016.38/29,878 = 17,651.84/x
  3. Step 3: Cross multiply
    20,016.38x = 29,878 × 17,651.84
  4. Step 4: Simplify right side
    20,016.38x = 527,401,675.52
  5. Step 5: Solve for x
    x = 527,401,675.52/20,016.38
  6. Step 6: Final answer
    x = 26,348.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.