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Finding the Fourth Proportional to 13,884.90, 20,824.26 and 4,021.50

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Solution

The fourth proportional to 13,884.90, 20,824.26 and 4,021.50 is: 6,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.90 : 20,824.26 = 4,021.50 : x
  2. Step 2: Convert to fraction form
    13,884.90/20,824.26 = 4,021.50/x
  3. Step 3: Cross multiply
    13,884.90x = 20,824.26 × 4,021.50
  4. Step 4: Simplify right side
    13,884.90x = 83,744,761.59
  5. Step 5: Solve for x
    x = 83,744,761.59/13,884.90
  6. Step 6: Final answer
    x = 6,031.36

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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.