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Finding the Fourth Proportional to 20,865.69, 31,300.22 and 6,825.42

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Solution

The fourth proportional to 20,865.69, 31,300.22 and 6,825.42 is: 10,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865.69 : 31,300.22 = 6,825.42 : x
  2. Step 2: Convert to fraction form
    20,865.69/31,300.22 = 6,825.42/x
  3. Step 3: Cross multiply
    20,865.69x = 31,300.22 × 6,825.42
  4. Step 4: Simplify right side
    20,865.69x = 213,637,164.66
  5. Step 5: Solve for x
    x = 213,637,164.66/20,865.69
  6. Step 6: Final answer
    x = 10,238.68

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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.