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Finding the Fourth Proportional to 16,512.33, 22,781.46 and 9,433.74

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Solution

The fourth proportional to 16,512.33, 22,781.46 and 9,433.74 is: 13,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.33 : 22,781.46 = 9,433.74 : x
  2. Step 2: Convert to fraction form
    16,512.33/22,781.46 = 9,433.74/x
  3. Step 3: Cross multiply
    16,512.33x = 22,781.46 × 9,433.74
  4. Step 4: Simplify right side
    16,512.33x = 214,914,370.46
  5. Step 5: Solve for x
    x = 214,914,370.46/16,512.33
  6. Step 6: Final answer
    x = 13,015.39

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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.