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Finding the Fourth Proportional to 17,207.26, 25,811.16 and 7,846.90

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Solution

The fourth proportional to 17,207.26, 25,811.16 and 7,846.90 is: 11,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,207.26 : 25,811.16 = 7,846.90 : x
  2. Step 2: Convert to fraction form
    17,207.26/25,811.16 = 7,846.90/x
  3. Step 3: Cross multiply
    17,207.26x = 25,811.16 × 7,846.90
  4. Step 4: Simplify right side
    17,207.26x = 202,537,591.40
  5. Step 5: Solve for x
    x = 202,537,591.40/17,207.26
  6. Step 6: Final answer
    x = 11,770.47

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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.