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Finding the Fourth Proportional to 12,581.73, 17,361.54 and 7,278.26

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Solution

The fourth proportional to 12,581.73, 17,361.54 and 7,278.26 is: 10,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.73 : 17,361.54 = 7,278.26 : x
  2. Step 2: Convert to fraction form
    12,581.73/17,361.54 = 7,278.26/x
  3. Step 3: Cross multiply
    12,581.73x = 17,361.54 × 7,278.26
  4. Step 4: Simplify right side
    12,581.73x = 126,361,715.31
  5. Step 5: Solve for x
    x = 126,361,715.31/12,581.73
  6. Step 6: Final answer
    x = 10,043.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.