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Finding the Fourth Proportional to 17,431.41, 26,082.52 and 10,415.24

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Solution

The fourth proportional to 17,431.41, 26,082.52 and 10,415.24 is: 15,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.41 : 26,082.52 = 10,415.24 : x
  2. Step 2: Convert to fraction form
    17,431.41/26,082.52 = 10,415.24/x
  3. Step 3: Cross multiply
    17,431.41x = 26,082.52 × 10,415.24
  4. Step 4: Simplify right side
    17,431.41x = 271,655,744.77
  5. Step 5: Solve for x
    x = 271,655,744.77/17,431.41
  6. Step 6: Final answer
    x = 15,584.27

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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.