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Finding the Fourth Proportional to 17,180.40, 25,768.68 and 6,654

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Solution

The fourth proportional to 17,180.40, 25,768.68 and 6,654 is: 9,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,180.40 : 25,768.68 = 6,654 : x
  2. Step 2: Convert to fraction form
    17,180.40/25,768.68 = 6,654/x
  3. Step 3: Cross multiply
    17,180.40x = 25,768.68 × 6,654
  4. Step 4: Simplify right side
    17,180.40x = 171,464,796.72
  5. Step 5: Solve for x
    x = 171,464,796.72/17,180.40
  6. Step 6: Final answer
    x = 9,980.26

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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.