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Finding the Fourth Proportional to 17,183.60, 25,763.10 and 6,644.60

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Solution

The fourth proportional to 17,183.60, 25,763.10 and 6,644.60 is: 9,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,183.60 : 25,763.10 = 6,644.60 : x
  2. Step 2: Convert to fraction form
    17,183.60/25,763.10 = 6,644.60/x
  3. Step 3: Cross multiply
    17,183.60x = 25,763.10 × 6,644.60
  4. Step 4: Simplify right side
    17,183.60x = 171,185,494.26
  5. Step 5: Solve for x
    x = 171,185,494.26/17,183.60
  6. Step 6: Final answer
    x = 9,962.14

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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.