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Finding the Fourth Proportional to 37,213.97, 55,788.14 and 13,824

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Solution

The fourth proportional to 37,213.97, 55,788.14 and 13,824 is: 20,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,213.97 : 55,788.14 = 13,824 : x
  2. Step 2: Convert to fraction form
    37,213.97/55,788.14 = 13,824/x
  3. Step 3: Cross multiply
    37,213.97x = 55,788.14 × 13,824
  4. Step 4: Simplify right side
    37,213.97x = 771,215,281.92
  5. Step 5: Solve for x
    x = 771,215,281.92/37,213.97
  6. Step 6: Final answer
    x = 20,723.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.