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Finding the Fourth Proportional to 20,443.50, 30,669.60 and 8,131.50

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Solution

The fourth proportional to 20,443.50, 30,669.60 and 8,131.50 is: 12,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443.50 : 30,669.60 = 8,131.50 : x
  2. Step 2: Convert to fraction form
    20,443.50/30,669.60 = 8,131.50/x
  3. Step 3: Cross multiply
    20,443.50x = 30,669.60 × 8,131.50
  4. Step 4: Simplify right side
    20,443.50x = 249,389,852.40
  5. Step 5: Solve for x
    x = 249,389,852.40/20,443.50
  6. Step 6: Final answer
    x = 12,198.98

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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.