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Finding the Fourth Proportional to 23,641.29, 32,638.31 and 15,694.38

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Solution

The fourth proportional to 23,641.29, 32,638.31 and 15,694.38 is: 21,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.29 : 32,638.31 = 15,694.38 : x
  2. Step 2: Convert to fraction form
    23,641.29/32,638.31 = 15,694.38/x
  3. Step 3: Cross multiply
    23,641.29x = 32,638.31 × 15,694.38
  4. Step 4: Simplify right side
    23,641.29x = 512,237,961.23
  5. Step 5: Solve for x
    x = 512,237,961.23/23,641.29
  6. Step 6: Final answer
    x = 21,667.09

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Why These Related Problems?

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