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Finding the Fourth Proportional to 17,035.42, 25,544.49 and 7,793.50

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Solution

The fourth proportional to 17,035.42, 25,544.49 and 7,793.50 is: 11,686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,035.42 : 25,544.49 = 7,793.50 : x
  2. Step 2: Convert to fraction form
    17,035.42/25,544.49 = 7,793.50/x
  3. Step 3: Cross multiply
    17,035.42x = 25,544.49 × 7,793.50
  4. Step 4: Simplify right side
    17,035.42x = 199,080,982.82
  5. Step 5: Solve for x
    x = 199,080,982.82/17,035.42
  6. Step 6: Final answer
    x = 11,686.30

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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.