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Finding the Fourth Proportional to 20,076.09, 27,660.40 and 13,258

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Solution

The fourth proportional to 20,076.09, 27,660.40 and 13,258 is: 18,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076.09 : 27,660.40 = 13,258 : x
  2. Step 2: Convert to fraction form
    20,076.09/27,660.40 = 13,258/x
  3. Step 3: Cross multiply
    20,076.09x = 27,660.40 × 13,258
  4. Step 4: Simplify right side
    20,076.09x = 366,721,583.20
  5. Step 5: Solve for x
    x = 366,721,583.20/20,076.09
  6. Step 6: Final answer
    x = 18,266.58

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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.