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Finding the Fourth Proportional to 23,219.39, 32,042.46 and 12,609.09

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Solution

The fourth proportional to 23,219.39, 32,042.46 and 12,609.09 is: 17,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,219.39 : 32,042.46 = 12,609.09 : x
  2. Step 2: Convert to fraction form
    23,219.39/32,042.46 = 12,609.09/x
  3. Step 3: Cross multiply
    23,219.39x = 32,042.46 × 12,609.09
  4. Step 4: Simplify right side
    23,219.39x = 404,026,261.96
  5. Step 5: Solve for x
    x = 404,026,261.96/23,219.39
  6. Step 6: Final answer
    x = 17,400.39

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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.