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Finding the Fourth Proportional to 13,257.54, 19,965.78 and 12,076.56

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Solution

The fourth proportional to 13,257.54, 19,965.78 and 12,076.56 is: 18,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.54 : 19,965.78 = 12,076.56 : x
  2. Step 2: Convert to fraction form
    13,257.54/19,965.78 = 12,076.56/x
  3. Step 3: Cross multiply
    13,257.54x = 19,965.78 × 12,076.56
  4. Step 4: Simplify right side
    13,257.54x = 241,117,940.12
  5. Step 5: Solve for x
    x = 241,117,940.12/13,257.54
  6. Step 6: Final answer
    x = 18,187.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.