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Finding the Fourth Proportional to 17,000.26, 25,463.46 and 8,216.75

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Solution

The fourth proportional to 17,000.26, 25,463.46 and 8,216.75 is: 12,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.26 : 25,463.46 = 8,216.75 : x
  2. Step 2: Convert to fraction form
    17,000.26/25,463.46 = 8,216.75/x
  3. Step 3: Cross multiply
    17,000.26x = 25,463.46 × 8,216.75
  4. Step 4: Simplify right side
    17,000.26x = 209,226,884.96
  5. Step 5: Solve for x
    x = 209,226,884.96/17,000.26
  6. Step 6: Final answer
    x = 12,307.28

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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.