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Finding the Fourth Proportional to 12,272.80, 17,761 and 12,272.80

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Solution

The fourth proportional to 12,272.80, 17,761 and 12,272.80 is: 17,761

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.80 : 17,761 = 12,272.80 : x
  2. Step 2: Convert to fraction form
    12,272.80/17,761 = 12,272.80/x
  3. Step 3: Cross multiply
    12,272.80x = 17,761 × 12,272.80
  4. Step 4: Simplify right side
    12,272.80x = 217,977,200.80
  5. Step 5: Solve for x
    x = 217,977,200.80/12,272.80
  6. Step 6: Final answer
    x = 17,761

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.