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Finding the Fourth Proportional to 13,427.92, 18,541.74 and 11,201.47

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Solution

The fourth proportional to 13,427.92, 18,541.74 and 11,201.47 is: 15,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.92 : 18,541.74 = 11,201.47 : x
  2. Step 2: Convert to fraction form
    13,427.92/18,541.74 = 11,201.47/x
  3. Step 3: Cross multiply
    13,427.92x = 18,541.74 × 11,201.47
  4. Step 4: Simplify right side
    13,427.92x = 207,694,744.36
  5. Step 5: Solve for x
    x = 207,694,744.36/13,427.92
  6. Step 6: Final answer
    x = 15,467.38

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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.