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Finding the Fourth Proportional to 18,946.34, 28,427.70 and 10,171

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Solution

The fourth proportional to 18,946.34, 28,427.70 and 10,171 is: 15,260.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,946.34 : 28,427.70 = 10,171 : x
  2. Step 2: Convert to fraction form
    18,946.34/28,427.70 = 10,171/x
  3. Step 3: Cross multiply
    18,946.34x = 28,427.70 × 10,171
  4. Step 4: Simplify right side
    18,946.34x = 289,138,136.70
  5. Step 5: Solve for x
    x = 289,138,136.70/18,946.34
  6. Step 6: Final answer
    x = 15,260.90

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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.