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Finding the Fourth Proportional to 27,414.80, 41,097 and 9,880.34

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Solution

The fourth proportional to 27,414.80, 41,097 and 9,880.34 is: 14,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414.80 : 41,097 = 9,880.34 : x
  2. Step 2: Convert to fraction form
    27,414.80/41,097 = 9,880.34/x
  3. Step 3: Cross multiply
    27,414.80x = 41,097 × 9,880.34
  4. Step 4: Simplify right side
    27,414.80x = 406,052,332.98
  5. Step 5: Solve for x
    x = 406,052,332.98/27,414.80
  6. Step 6: Final answer
    x = 14,811.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.