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Finding the Fourth Proportional to 18,674.56, 25,770.90 and 10,291

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Solution

The fourth proportional to 18,674.56, 25,770.90 and 10,291 is: 14,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,674.56 : 25,770.90 = 10,291 : x
  2. Step 2: Convert to fraction form
    18,674.56/25,770.90 = 10,291/x
  3. Step 3: Cross multiply
    18,674.56x = 25,770.90 × 10,291
  4. Step 4: Simplify right side
    18,674.56x = 265,208,331.90
  5. Step 5: Solve for x
    x = 265,208,331.90/18,674.56
  6. Step 6: Final answer
    x = 14,201.58

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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.