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Finding the Fourth Proportional to 18,674.50, 25,771.08 and 10,291

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Solution

The fourth proportional to 18,674.50, 25,771.08 and 10,291 is: 14,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,674.50 : 25,771.08 = 10,291 : x
  2. Step 2: Convert to fraction form
    18,674.50/25,771.08 = 10,291/x
  3. Step 3: Cross multiply
    18,674.50x = 25,771.08 × 10,291
  4. Step 4: Simplify right side
    18,674.50x = 265,210,184.28
  5. Step 5: Solve for x
    x = 265,210,184.28/18,674.50
  6. Step 6: Final answer
    x = 14,201.73

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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.