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Finding the Fourth Proportional to 18,698, 25,803.73 and 10,200.26

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Solution

The fourth proportional to 18,698, 25,803.73 and 10,200.26 is: 14,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,698 : 25,803.73 = 10,200.26 : x
  2. Step 2: Convert to fraction form
    18,698/25,803.73 = 10,200.26/x
  3. Step 3: Cross multiply
    18,698x = 25,803.73 × 10,200.26
  4. Step 4: Simplify right side
    18,698x = 263,204,703.97
  5. Step 5: Solve for x
    x = 263,204,703.97/18,698
  6. Step 6: Final answer
    x = 14,076.62

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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.