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Finding the Fourth Proportional to 17,896.20, 26,844 and 5,416.49

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Solution

The fourth proportional to 17,896.20, 26,844 and 5,416.49 is: 8,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.20 : 26,844 = 5,416.49 : x
  2. Step 2: Convert to fraction form
    17,896.20/26,844 = 5,416.49/x
  3. Step 3: Cross multiply
    17,896.20x = 26,844 × 5,416.49
  4. Step 4: Simplify right side
    17,896.20x = 145,400,123.34
  5. Step 5: Solve for x
    x = 145,400,123.34/17,896.20
  6. Step 6: Final answer
    x = 8,124.64

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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.