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Finding the Fourth Proportional to 17,324.28, 25,992 and 5,645.52

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Solution

The fourth proportional to 17,324.28, 25,992 and 5,645.52 is: 8,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324.28 : 25,992 = 5,645.52 : x
  2. Step 2: Convert to fraction form
    17,324.28/25,992 = 5,645.52/x
  3. Step 3: Cross multiply
    17,324.28x = 25,992 × 5,645.52
  4. Step 4: Simplify right side
    17,324.28x = 146,738,355.84
  5. Step 5: Solve for x
    x = 146,738,355.84/17,324.28
  6. Step 6: Final answer
    x = 8,470.10

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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.