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Finding the Fourth Proportional to 17,185.50, 25,778.25 and 4,873.50

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Solution

The fourth proportional to 17,185.50, 25,778.25 and 4,873.50 is: 7,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185.50 : 25,778.25 = 4,873.50 : x
  2. Step 2: Convert to fraction form
    17,185.50/25,778.25 = 4,873.50/x
  3. Step 3: Cross multiply
    17,185.50x = 25,778.25 × 4,873.50
  4. Step 4: Simplify right side
    17,185.50x = 125,630,301.38
  5. Step 5: Solve for x
    x = 125,630,301.38/17,185.50
  6. Step 6: Final answer
    x = 7,310.25

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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.