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Finding the Fourth Proportional to 37,197.82, 55,797 and 13,824.28

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Solution

The fourth proportional to 37,197.82, 55,797 and 13,824.28 is: 20,736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,197.82 : 55,797 = 13,824.28 : x
  2. Step 2: Convert to fraction form
    37,197.82/55,797 = 13,824.28/x
  3. Step 3: Cross multiply
    37,197.82x = 55,797 × 13,824.28
  4. Step 4: Simplify right side
    37,197.82x = 771,353,351.16
  5. Step 5: Solve for x
    x = 771,353,351.16/37,197.82
  6. Step 6: Final answer
    x = 20,736.52

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