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Finding the Fourth Proportional to 17,406.56, 24,041 and 11,464.80

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Solution

The fourth proportional to 17,406.56, 24,041 and 11,464.80 is: 15,834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.56 : 24,041 = 11,464.80 : x
  2. Step 2: Convert to fraction form
    17,406.56/24,041 = 11,464.80/x
  3. Step 3: Cross multiply
    17,406.56x = 24,041 × 11,464.80
  4. Step 4: Simplify right side
    17,406.56x = 275,625,256.80
  5. Step 5: Solve for x
    x = 275,625,256.80/17,406.56
  6. Step 6: Final answer
    x = 15,834.56

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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.