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Finding the Fourth Proportional to 17,147.95, 25,709.57 and 7,783.27

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Solution

The fourth proportional to 17,147.95, 25,709.57 and 7,783.27 is: 11,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,147.95 : 25,709.57 = 7,783.27 : x
  2. Step 2: Convert to fraction form
    17,147.95/25,709.57 = 7,783.27/x
  3. Step 3: Cross multiply
    17,147.95x = 25,709.57 × 7,783.27
  4. Step 4: Simplify right side
    17,147.95x = 200,104,524.89
  5. Step 5: Solve for x
    x = 200,104,524.89/17,147.95
  6. Step 6: Final answer
    x = 11,669.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.