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Finding the Fourth Proportional to 17,112.34, 25,653.51 and 8,223.22

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Solution

The fourth proportional to 17,112.34, 25,653.51 and 8,223.22 is: 12,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,112.34 : 25,653.51 = 8,223.22 : x
  2. Step 2: Convert to fraction form
    17,112.34/25,653.51 = 8,223.22/x
  3. Step 3: Cross multiply
    17,112.34x = 25,653.51 × 8,223.22
  4. Step 4: Simplify right side
    17,112.34x = 210,954,456.50
  5. Step 5: Solve for x
    x = 210,954,456.50/17,112.34
  6. Step 6: Final answer
    x = 12,327.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.