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Finding the Fourth Proportional to 17,076.68, 23,576.81 and 11,708.06

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Solution

The fourth proportional to 17,076.68, 23,576.81 and 11,708.06 is: 16,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076.68 : 23,576.81 = 11,708.06 : x
  2. Step 2: Convert to fraction form
    17,076.68/23,576.81 = 11,708.06/x
  3. Step 3: Cross multiply
    17,076.68x = 23,576.81 × 11,708.06
  4. Step 4: Simplify right side
    17,076.68x = 276,038,529.66
  5. Step 5: Solve for x
    x = 276,038,529.66/17,076.68
  6. Step 6: Final answer
    x = 16,164.64

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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.