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Finding the Fourth Proportional to 18,785.25, 25,923.65 and 10,401.75

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Solution

The fourth proportional to 18,785.25, 25,923.65 and 10,401.75 is: 14,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,785.25 : 25,923.65 = 10,401.75 : x
  2. Step 2: Convert to fraction form
    18,785.25/25,923.65 = 10,401.75/x
  3. Step 3: Cross multiply
    18,785.25x = 25,923.65 × 10,401.75
  4. Step 4: Simplify right side
    18,785.25x = 269,651,274.38
  5. Step 5: Solve for x
    x = 269,651,274.38/18,785.25
  6. Step 6: Final answer
    x = 14,354.42

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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.