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Finding the Fourth Proportional to 17,096.96, 23,568 and 13,364.48

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Solution

The fourth proportional to 17,096.96, 23,568 and 13,364.48 is: 18,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.96 : 23,568 = 13,364.48 : x
  2. Step 2: Convert to fraction form
    17,096.96/23,568 = 13,364.48/x
  3. Step 3: Cross multiply
    17,096.96x = 23,568 × 13,364.48
  4. Step 4: Simplify right side
    17,096.96x = 314,974,064.64
  5. Step 5: Solve for x
    x = 314,974,064.64/17,096.96
  6. Step 6: Final answer
    x = 18,422.81

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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.