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Finding the Fourth Proportional to 20,153.51, 30,234.80 and 6,825.75

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Solution

The fourth proportional to 20,153.51, 30,234.80 and 6,825.75 is: 10,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.51 : 30,234.80 = 6,825.75 : x
  2. Step 2: Convert to fraction form
    20,153.51/30,234.80 = 6,825.75/x
  3. Step 3: Cross multiply
    20,153.51x = 30,234.80 × 6,825.75
  4. Step 4: Simplify right side
    20,153.51x = 206,375,259.85
  5. Step 5: Solve for x
    x = 206,375,259.85/20,153.51
  6. Step 6: Final answer
    x = 10,240.17

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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.