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Finding the Fourth Proportional to 12,252, 18,361.76 and 4,453.28

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Solution

The fourth proportional to 12,252, 18,361.76 and 4,453.28 is: 6,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,252 : 18,361.76 = 4,453.28 : x
  2. Step 2: Convert to fraction form
    12,252/18,361.76 = 4,453.28/x
  3. Step 3: Cross multiply
    12,252x = 18,361.76 × 4,453.28
  4. Step 4: Simplify right side
    12,252x = 81,770,058.57
  5. Step 5: Solve for x
    x = 81,770,058.57/12,252
  6. Step 6: Final answer
    x = 6,674.02

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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.