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Finding the Fourth Proportional to 17,019.42, 25,520.49 and 7,777.50

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Solution

The fourth proportional to 17,019.42, 25,520.49 and 7,777.50 is: 11,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,019.42 : 25,520.49 = 7,777.50 : x
  2. Step 2: Convert to fraction form
    17,019.42/25,520.49 = 7,777.50/x
  3. Step 3: Cross multiply
    17,019.42x = 25,520.49 × 7,777.50
  4. Step 4: Simplify right side
    17,019.42x = 198,485,610.98
  5. Step 5: Solve for x
    x = 198,485,610.98/17,019.42
  6. Step 6: Final answer
    x = 11,662.30

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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.