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Finding the Fourth Proportional to 13,962.09, 20,944.16 and 5,197

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Solution

The fourth proportional to 13,962.09, 20,944.16 and 5,197 is: 7,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,962.09 : 20,944.16 = 5,197 : x
  2. Step 2: Convert to fraction form
    13,962.09/20,944.16 = 5,197/x
  3. Step 3: Cross multiply
    13,962.09x = 20,944.16 × 5,197
  4. Step 4: Simplify right side
    13,962.09x = 108,846,799.52
  5. Step 5: Solve for x
    x = 108,846,799.52/13,962.09
  6. Step 6: Final answer
    x = 7,795.88

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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.