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Finding the Fourth Proportional to 21,843.75, 30,146.82 and 13,460.25

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Solution

The fourth proportional to 21,843.75, 30,146.82 and 13,460.25 is: 18,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.75 : 30,146.82 = 13,460.25 : x
  2. Step 2: Convert to fraction form
    21,843.75/30,146.82 = 13,460.25/x
  3. Step 3: Cross multiply
    21,843.75x = 30,146.82 × 13,460.25
  4. Step 4: Simplify right side
    21,843.75x = 405,783,733.91
  5. Step 5: Solve for x
    x = 405,783,733.91/21,843.75
  6. Step 6: Final answer
    x = 18,576.65

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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.