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Finding the Fourth Proportional to 17,229.54, 25,844.30 and 4,749.67

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Solution

The fourth proportional to 17,229.54, 25,844.30 and 4,749.67 is: 7,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229.54 : 25,844.30 = 4,749.67 : x
  2. Step 2: Convert to fraction form
    17,229.54/25,844.30 = 4,749.67/x
  3. Step 3: Cross multiply
    17,229.54x = 25,844.30 × 4,749.67
  4. Step 4: Simplify right side
    17,229.54x = 122,751,922.75
  5. Step 5: Solve for x
    x = 122,751,922.75/17,229.54
  6. Step 6: Final answer
    x = 7,124.50

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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.