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Finding the Fourth Proportional to 13,770.80, 20,665.56 and 9,080.72

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Solution

The fourth proportional to 13,770.80, 20,665.56 and 9,080.72 is: 13,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.80 : 20,665.56 = 9,080.72 : x
  2. Step 2: Convert to fraction form
    13,770.80/20,665.56 = 9,080.72/x
  3. Step 3: Cross multiply
    13,770.80x = 20,665.56 × 9,080.72
  4. Step 4: Simplify right side
    13,770.80x = 187,658,164.00
  5. Step 5: Solve for x
    x = 187,658,164.00/13,770.80
  6. Step 6: Final answer
    x = 13,627.25

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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.