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Finding the Fourth Proportional to 13,548.05, 18,696.56 and 8,170.46

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Solution

The fourth proportional to 13,548.05, 18,696.56 and 8,170.46 is: 11,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.05 : 18,696.56 = 8,170.46 : x
  2. Step 2: Convert to fraction form
    13,548.05/18,696.56 = 8,170.46/x
  3. Step 3: Cross multiply
    13,548.05x = 18,696.56 × 8,170.46
  4. Step 4: Simplify right side
    13,548.05x = 152,759,361.28
  5. Step 5: Solve for x
    x = 152,759,361.28/13,548.05
  6. Step 6: Final answer
    x = 11,275.38

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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.