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Finding the Fourth Proportional to 19,424.50, 26,805.84 and 11,041

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Solution

The fourth proportional to 19,424.50, 26,805.84 and 11,041 is: 15,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,424.50 : 26,805.84 = 11,041 : x
  2. Step 2: Convert to fraction form
    19,424.50/26,805.84 = 11,041/x
  3. Step 3: Cross multiply
    19,424.50x = 26,805.84 × 11,041
  4. Step 4: Simplify right side
    19,424.50x = 295,963,279.44
  5. Step 5: Solve for x
    x = 295,963,279.44/19,424.50
  6. Step 6: Final answer
    x = 15,236.60

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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.