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Finding the Fourth Proportional to 17,076.96, 23,565.60 and 9,523.20

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Solution

The fourth proportional to 17,076.96, 23,565.60 and 9,523.20 is: 13,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076.96 : 23,565.60 = 9,523.20 : x
  2. Step 2: Convert to fraction form
    17,076.96/23,565.60 = 9,523.20/x
  3. Step 3: Cross multiply
    17,076.96x = 23,565.60 × 9,523.20
  4. Step 4: Simplify right side
    17,076.96x = 224,419,921.92
  5. Step 5: Solve for x
    x = 224,419,921.92/17,076.96
  6. Step 6: Final answer
    x = 13,141.68

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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.