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Finding the Fourth Proportional to 23,132.70, 31,923.09 and 12,522.33

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Solution

The fourth proportional to 23,132.70, 31,923.09 and 12,522.33 is: 17,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132.70 : 31,923.09 = 12,522.33 : x
  2. Step 2: Convert to fraction form
    23,132.70/31,923.09 = 12,522.33/x
  3. Step 3: Cross multiply
    23,132.70x = 31,923.09 × 12,522.33
  4. Step 4: Simplify right side
    23,132.70x = 399,751,467.60
  5. Step 5: Solve for x
    x = 399,751,467.60/23,132.70
  6. Step 6: Final answer
    x = 17,280.80

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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.