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Finding the Fourth Proportional to 21,769.34, 32,640.51 and 10,067.54

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Solution

The fourth proportional to 21,769.34, 32,640.51 and 10,067.54 is: 15,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,769.34 : 32,640.51 = 10,067.54 : x
  2. Step 2: Convert to fraction form
    21,769.34/32,640.51 = 10,067.54/x
  3. Step 3: Cross multiply
    21,769.34x = 32,640.51 × 10,067.54
  4. Step 4: Simplify right side
    21,769.34x = 328,609,640.05
  5. Step 5: Solve for x
    x = 328,609,640.05/21,769.34
  6. Step 6: Final answer
    x = 15,095.07

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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.