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Finding the Fourth Proportional to 17,000.20, 25,478.70 and 8,216.20

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Solution

The fourth proportional to 17,000.20, 25,478.70 and 8,216.20 is: 12,313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.20 : 25,478.70 = 8,216.20 : x
  2. Step 2: Convert to fraction form
    17,000.20/25,478.70 = 8,216.20/x
  3. Step 3: Cross multiply
    17,000.20x = 25,478.70 × 8,216.20
  4. Step 4: Simplify right side
    17,000.20x = 209,338,094.94
  5. Step 5: Solve for x
    x = 209,338,094.94/17,000.20
  6. Step 6: Final answer
    x = 12,313.86

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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.