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Finding the Fourth Proportional to 12,201.80, 16,838.96 and 7,420.36

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Solution

The fourth proportional to 12,201.80, 16,838.96 and 7,420.36 is: 10,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.80 : 16,838.96 = 7,420.36 : x
  2. Step 2: Convert to fraction form
    12,201.80/16,838.96 = 7,420.36/x
  3. Step 3: Cross multiply
    12,201.80x = 16,838.96 × 7,420.36
  4. Step 4: Simplify right side
    12,201.80x = 124,951,145.23
  5. Step 5: Solve for x
    x = 124,951,145.23/12,201.80
  6. Step 6: Final answer
    x = 10,240.39

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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.