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Finding the Fourth Proportional to 12,887.25, 19,327.84 and 7,267.33

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Solution

The fourth proportional to 12,887.25, 19,327.84 and 7,267.33 is: 10,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.25 : 19,327.84 = 7,267.33 : x
  2. Step 2: Convert to fraction form
    12,887.25/19,327.84 = 7,267.33/x
  3. Step 3: Cross multiply
    12,887.25x = 19,327.84 × 7,267.33
  4. Step 4: Simplify right side
    12,887.25x = 140,461,791.47
  5. Step 5: Solve for x
    x = 140,461,791.47/12,887.25
  6. Step 6: Final answer
    x = 10,899.29

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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.