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Finding the Fourth Proportional to 20,323.96, 30,491.42 and 8,473.80

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Solution

The fourth proportional to 20,323.96, 30,491.42 and 8,473.80 is: 12,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,323.96 : 30,491.42 = 8,473.80 : x
  2. Step 2: Convert to fraction form
    20,323.96/30,491.42 = 8,473.80/x
  3. Step 3: Cross multiply
    20,323.96x = 30,491.42 × 8,473.80
  4. Step 4: Simplify right side
    20,323.96x = 258,378,194.80
  5. Step 5: Solve for x
    x = 258,378,194.80/20,323.96
  6. Step 6: Final answer
    x = 12,712.98

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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.