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Finding the Fourth Proportional to 19,517.82, 26,938.23 and 11,134.32

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Solution

The fourth proportional to 19,517.82, 26,938.23 and 11,134.32 is: 15,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517.82 : 26,938.23 = 11,134.32 : x
  2. Step 2: Convert to fraction form
    19,517.82/26,938.23 = 11,134.32/x
  3. Step 3: Cross multiply
    19,517.82x = 26,938.23 × 11,134.32
  4. Step 4: Simplify right side
    19,517.82x = 299,938,738.36
  5. Step 5: Solve for x
    x = 299,938,738.36/19,517.82
  6. Step 6: Final answer
    x = 15,367.43

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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.