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Finding the Fourth Proportional to 23,794.89, 32,841.01 and 13,721.52

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Solution

The fourth proportional to 23,794.89, 32,841.01 and 13,721.52 is: 18,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.89 : 32,841.01 = 13,721.52 : x
  2. Step 2: Convert to fraction form
    23,794.89/32,841.01 = 13,721.52/x
  3. Step 3: Cross multiply
    23,794.89x = 32,841.01 × 13,721.52
  4. Step 4: Simplify right side
    23,794.89x = 450,628,575.54
  5. Step 5: Solve for x
    x = 450,628,575.54/23,794.89
  6. Step 6: Final answer
    x = 18,938.04

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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.