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Finding the Fourth Proportional to 18,786.38, 25,926.01 and 10,402.88

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Solution

The fourth proportional to 18,786.38, 25,926.01 and 10,402.88 is: 14,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,786.38 : 25,926.01 = 10,402.88 : x
  2. Step 2: Convert to fraction form
    18,786.38/25,926.01 = 10,402.88/x
  3. Step 3: Cross multiply
    18,786.38x = 25,926.01 × 10,402.88
  4. Step 4: Simplify right side
    18,786.38x = 269,705,015.27
  5. Step 5: Solve for x
    x = 269,705,015.27/18,786.38
  6. Step 6: Final answer
    x = 14,356.42

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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.