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Finding the Fourth Proportional to 17,180.48, 25,771.92 and 5,494.64

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Solution

The fourth proportional to 17,180.48, 25,771.92 and 5,494.64 is: 8,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,180.48 : 25,771.92 = 5,494.64 : x
  2. Step 2: Convert to fraction form
    17,180.48/25,771.92 = 5,494.64/x
  3. Step 3: Cross multiply
    17,180.48x = 25,771.92 × 5,494.64
  4. Step 4: Simplify right side
    17,180.48x = 141,607,422.51
  5. Step 5: Solve for x
    x = 141,607,422.51/17,180.48
  6. Step 6: Final answer
    x = 8,242.34

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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.