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Finding the Fourth Proportional to 17,302.24, 25,969.76 and 10,708.48

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Solution

The fourth proportional to 17,302.24, 25,969.76 and 10,708.48 is: 16,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.24 : 25,969.76 = 10,708.48 : x
  2. Step 2: Convert to fraction form
    17,302.24/25,969.76 = 10,708.48/x
  3. Step 3: Cross multiply
    17,302.24x = 25,969.76 × 10,708.48
  4. Step 4: Simplify right side
    17,302.24x = 278,096,655.56
  5. Step 5: Solve for x
    x = 278,096,655.56/17,302.24
  6. Step 6: Final answer
    x = 16,072.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.