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Finding the Fourth Proportional to 25,633, 38,450.94 and 7,166.44

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Solution

The fourth proportional to 25,633, 38,450.94 and 7,166.44 is: 10,750.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,633 : 38,450.94 = 7,166.44 : x
  2. Step 2: Convert to fraction form
    25,633/38,450.94 = 7,166.44/x
  3. Step 3: Cross multiply
    25,633x = 38,450.94 × 7,166.44
  4. Step 4: Simplify right side
    25,633x = 275,556,354.45
  5. Step 5: Solve for x
    x = 275,556,354.45/25,633
  6. Step 6: Final answer
    x = 10,750.06

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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.