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Finding the Fourth Proportional to 20,738.72, 30,948.82 and 18,524.16

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Solution

The fourth proportional to 20,738.72, 30,948.82 and 18,524.16 is: 27,643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,738.72 : 30,948.82 = 18,524.16 : x
  2. Step 2: Convert to fraction form
    20,738.72/30,948.82 = 18,524.16/x
  3. Step 3: Cross multiply
    20,738.72x = 30,948.82 × 18,524.16
  4. Step 4: Simplify right side
    20,738.72x = 573,300,893.49
  5. Step 5: Solve for x
    x = 573,300,893.49/20,738.72
  6. Step 6: Final answer
    x = 27,643.99

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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.