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Finding the Fourth Proportional to 17,223.24, 25,804.26 and 7,205.90

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Solution

The fourth proportional to 17,223.24, 25,804.26 and 7,205.90 is: 10,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,223.24 : 25,804.26 = 7,205.90 : x
  2. Step 2: Convert to fraction form
    17,223.24/25,804.26 = 7,205.90/x
  3. Step 3: Cross multiply
    17,223.24x = 25,804.26 × 7,205.90
  4. Step 4: Simplify right side
    17,223.24x = 185,942,917.13
  5. Step 5: Solve for x
    x = 185,942,917.13/17,223.24
  6. Step 6: Final answer
    x = 10,796.05

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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.