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Finding the Fourth Proportional to 13,780.75, 20,674.37 and 4,546.75

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Solution

The fourth proportional to 13,780.75, 20,674.37 and 4,546.75 is: 6,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.75 : 20,674.37 = 4,546.75 : x
  2. Step 2: Convert to fraction form
    13,780.75/20,674.37 = 4,546.75/x
  3. Step 3: Cross multiply
    13,780.75x = 20,674.37 × 4,546.75
  4. Step 4: Simplify right side
    13,780.75x = 94,001,191.80
  5. Step 5: Solve for x
    x = 94,001,191.80/13,780.75
  6. Step 6: Final answer
    x = 6,821.20

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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.