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Finding the Fourth Proportional to 12,805.80, 19,209.60 and 7,261.80

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Solution

The fourth proportional to 12,805.80, 19,209.60 and 7,261.80 is: 10,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.80 : 19,209.60 = 7,261.80 : x
  2. Step 2: Convert to fraction form
    12,805.80/19,209.60 = 7,261.80/x
  3. Step 3: Cross multiply
    12,805.80x = 19,209.60 × 7,261.80
  4. Step 4: Simplify right side
    12,805.80x = 139,496,273.28
  5. Step 5: Solve for x
    x = 139,496,273.28/12,805.80
  6. Step 6: Final answer
    x = 10,893.21

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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.