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Finding the Fourth Proportional to 20,447.50, 30,675.60 and 8,135.50

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Solution

The fourth proportional to 20,447.50, 30,675.60 and 8,135.50 is: 12,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,447.50 : 30,675.60 = 8,135.50 : x
  2. Step 2: Convert to fraction form
    20,447.50/30,675.60 = 8,135.50/x
  3. Step 3: Cross multiply
    20,447.50x = 30,675.60 × 8,135.50
  4. Step 4: Simplify right side
    20,447.50x = 249,561,343.80
  5. Step 5: Solve for x
    x = 249,561,343.80/20,447.50
  6. Step 6: Final answer
    x = 12,204.98

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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.