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Finding the Fourth Proportional to 18,706.38, 25,814.65 and 10,208.31

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Solution

The fourth proportional to 18,706.38, 25,814.65 and 10,208.31 is: 14,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,706.38 : 25,814.65 = 10,208.31 : x
  2. Step 2: Convert to fraction form
    18,706.38/25,814.65 = 10,208.31/x
  3. Step 3: Cross multiply
    18,706.38x = 25,814.65 × 10,208.31
  4. Step 4: Simplify right side
    18,706.38x = 263,523,949.74
  5. Step 5: Solve for x
    x = 263,523,949.74/18,706.38
  6. Step 6: Final answer
    x = 14,087.38

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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.