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Finding the Fourth Proportional to 17,180, 25,774.32 and 4,868

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Solution

The fourth proportional to 17,180, 25,774.32 and 4,868 is: 7,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,180 : 25,774.32 = 4,868 : x
  2. Step 2: Convert to fraction form
    17,180/25,774.32 = 4,868/x
  3. Step 3: Cross multiply
    17,180x = 25,774.32 × 4,868
  4. Step 4: Simplify right side
    17,180x = 125,469,389.76
  5. Step 5: Solve for x
    x = 125,469,389.76/17,180
  6. Step 6: Final answer
    x = 7,303.22

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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.