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Finding the Fourth Proportional to 22,899.75, 31,601.25 and 12,828.09

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Solution

The fourth proportional to 22,899.75, 31,601.25 and 12,828.09 is: 17,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,899.75 : 31,601.25 = 12,828.09 : x
  2. Step 2: Convert to fraction form
    22,899.75/31,601.25 = 12,828.09/x
  3. Step 3: Cross multiply
    22,899.75x = 31,601.25 × 12,828.09
  4. Step 4: Simplify right side
    22,899.75x = 405,383,679.11
  5. Step 5: Solve for x
    x = 405,383,679.11/22,899.75
  6. Step 6: Final answer
    x = 17,702.54

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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.