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Finding the Fourth Proportional to 17,164.88, 25,744.44 and 4,850

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Solution

The fourth proportional to 17,164.88, 25,744.44 and 4,850 is: 7,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.88 : 25,744.44 = 4,850 : x
  2. Step 2: Convert to fraction form
    17,164.88/25,744.44 = 4,850/x
  3. Step 3: Cross multiply
    17,164.88x = 25,744.44 × 4,850
  4. Step 4: Simplify right side
    17,164.88x = 124,860,534
  5. Step 5: Solve for x
    x = 124,860,534/17,164.88
  6. Step 6: Final answer
    x = 7,274.19

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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.