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Finding the Fourth Proportional to 17,115.25, 25,651.67 and 9,697.22

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Solution

The fourth proportional to 17,115.25, 25,651.67 and 9,697.22 is: 14,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,115.25 : 25,651.67 = 9,697.22 : x
  2. Step 2: Convert to fraction form
    17,115.25/25,651.67 = 9,697.22/x
  3. Step 3: Cross multiply
    17,115.25x = 25,651.67 × 9,697.22
  4. Step 4: Simplify right side
    17,115.25x = 248,749,838.87
  5. Step 5: Solve for x
    x = 248,749,838.87/17,115.25
  6. Step 6: Final answer
    x = 14,533.82

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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.