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Finding the Fourth Proportional to 17,040.24, 23,519.16 and 11,448

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Solution

The fourth proportional to 17,040.24, 23,519.16 and 11,448 is: 15,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,040.24 : 23,519.16 = 11,448 : x
  2. Step 2: Convert to fraction form
    17,040.24/23,519.16 = 11,448/x
  3. Step 3: Cross multiply
    17,040.24x = 23,519.16 × 11,448
  4. Step 4: Simplify right side
    17,040.24x = 269,247,343.68
  5. Step 5: Solve for x
    x = 269,247,343.68/17,040.24
  6. Step 6: Final answer
    x = 15,800.68

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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.