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Finding the Fourth Proportional to 17,100.25, 25,651.82 and 4,788.25

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Solution

The fourth proportional to 17,100.25, 25,651.82 and 4,788.25 is: 7,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100.25 : 25,651.82 = 4,788.25 : x
  2. Step 2: Convert to fraction form
    17,100.25/25,651.82 = 4,788.25/x
  3. Step 3: Cross multiply
    17,100.25x = 25,651.82 × 4,788.25
  4. Step 4: Simplify right side
    17,100.25x = 122,827,327.12
  5. Step 5: Solve for x
    x = 122,827,327.12/17,100.25
  6. Step 6: Final answer
    x = 7,182.78

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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.