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Finding the Fourth Proportional to 25,795.69, 38,696.97 and 10,209.67

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Solution

The fourth proportional to 25,795.69, 38,696.97 and 10,209.67 is: 15,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,795.69 : 38,696.97 = 10,209.67 : x
  2. Step 2: Convert to fraction form
    25,795.69/38,696.97 = 10,209.67/x
  3. Step 3: Cross multiply
    25,795.69x = 38,696.97 × 10,209.67
  4. Step 4: Simplify right side
    25,795.69x = 395,083,293.70
  5. Step 5: Solve for x
    x = 395,083,293.70/25,795.69
  6. Step 6: Final answer
    x = 15,315.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.