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Finding the Fourth Proportional to 20,283.91, 30,425.94 and 6,432.91

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Solution

The fourth proportional to 20,283.91, 30,425.94 and 6,432.91 is: 9,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283.91 : 30,425.94 = 6,432.91 : x
  2. Step 2: Convert to fraction form
    20,283.91/30,425.94 = 6,432.91/x
  3. Step 3: Cross multiply
    20,283.91x = 30,425.94 × 6,432.91
  4. Step 4: Simplify right side
    20,283.91x = 195,727,149.39
  5. Step 5: Solve for x
    x = 195,727,149.39/20,283.91
  6. Step 6: Final answer
    x = 9,649.38

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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.