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Finding the Fourth Proportional to 22,469.75, 31,008.26 and 12,533.75

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Solution

The fourth proportional to 22,469.75, 31,008.26 and 12,533.75 is: 17,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.75 : 31,008.26 = 12,533.75 : x
  2. Step 2: Convert to fraction form
    22,469.75/31,008.26 = 12,533.75/x
  3. Step 3: Cross multiply
    22,469.75x = 31,008.26 × 12,533.75
  4. Step 4: Simplify right side
    22,469.75x = 388,649,778.78
  5. Step 5: Solve for x
    x = 388,649,778.78/22,469.75
  6. Step 6: Final answer
    x = 17,296.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.