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Finding the Fourth Proportional to 13,701.75, 20,540.30 and 4,930.50

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Solution

The fourth proportional to 13,701.75, 20,540.30 and 4,930.50 is: 7,391.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.75 : 20,540.30 = 4,930.50 : x
  2. Step 2: Convert to fraction form
    13,701.75/20,540.30 = 4,930.50/x
  3. Step 3: Cross multiply
    13,701.75x = 20,540.30 × 4,930.50
  4. Step 4: Simplify right side
    13,701.75x = 101,273,924.50
  5. Step 5: Solve for x
    x = 101,273,924.50/13,701.75
  6. Step 6: Final answer
    x = 7,391.31

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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.