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Finding the Fourth Proportional to 16,748.64, 25,123.20 and 7,984.48

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Solution

The fourth proportional to 16,748.64, 25,123.20 and 7,984.48 is: 11,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,748.64 : 25,123.20 = 7,984.48 : x
  2. Step 2: Convert to fraction form
    16,748.64/25,123.20 = 7,984.48/x
  3. Step 3: Cross multiply
    16,748.64x = 25,123.20 × 7,984.48
  4. Step 4: Simplify right side
    16,748.64x = 200,595,687.94
  5. Step 5: Solve for x
    x = 200,595,687.94/16,748.64
  6. Step 6: Final answer
    x = 11,976.83

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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.