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Finding the Fourth Proportional to 11,548.94, 17,232.81 and 10,843.70

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Solution

The fourth proportional to 11,548.94, 17,232.81 and 10,843.70 is: 16,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.94 : 17,232.81 = 10,843.70 : x
  2. Step 2: Convert to fraction form
    11,548.94/17,232.81 = 10,843.70/x
  3. Step 3: Cross multiply
    11,548.94x = 17,232.81 × 10,843.70
  4. Step 4: Simplify right side
    11,548.94x = 186,867,294.97
  5. Step 5: Solve for x
    x = 186,867,294.97/11,548.94
  6. Step 6: Final answer
    x = 16,180.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.