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Finding the Fourth Proportional to 13,080.21, 18,049.80 and 7,414.39

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Solution

The fourth proportional to 13,080.21, 18,049.80 and 7,414.39 is: 10,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,080.21 : 18,049.80 = 7,414.39 : x
  2. Step 2: Convert to fraction form
    13,080.21/18,049.80 = 7,414.39/x
  3. Step 3: Cross multiply
    13,080.21x = 18,049.80 × 7,414.39
  4. Step 4: Simplify right side
    13,080.21x = 133,828,256.62
  5. Step 5: Solve for x
    x = 133,828,256.62/13,080.21
  6. Step 6: Final answer
    x = 10,231.35

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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.