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Finding the Fourth Proportional to 17,181, 25,774.74 and 4,869

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Solution

The fourth proportional to 17,181, 25,774.74 and 4,869 is: 7,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,181 : 25,774.74 = 4,869 : x
  2. Step 2: Convert to fraction form
    17,181/25,774.74 = 4,869/x
  3. Step 3: Cross multiply
    17,181x = 25,774.74 × 4,869
  4. Step 4: Simplify right side
    17,181x = 125,497,209.06
  5. Step 5: Solve for x
    x = 125,497,209.06/17,181
  6. Step 6: Final answer
    x = 7,304.42

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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.