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Finding the Fourth Proportional to 23,394.39, 32,283.05 and 12,781.97

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Solution

The fourth proportional to 23,394.39, 32,283.05 and 12,781.97 is: 17,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,394.39 : 32,283.05 = 12,781.97 : x
  2. Step 2: Convert to fraction form
    23,394.39/32,283.05 = 12,781.97/x
  3. Step 3: Cross multiply
    23,394.39x = 32,283.05 × 12,781.97
  4. Step 4: Simplify right side
    23,394.39x = 412,640,751.28
  5. Step 5: Solve for x
    x = 412,640,751.28/23,394.39
  6. Step 6: Final answer
    x = 17,638.45

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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.