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Finding the Fourth Proportional to 17,744.37, 24,497.19 and 11,784.12

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Solution

The fourth proportional to 17,744.37, 24,497.19 and 11,784.12 is: 16,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.37 : 24,497.19 = 11,784.12 : x
  2. Step 2: Convert to fraction form
    17,744.37/24,497.19 = 11,784.12/x
  3. Step 3: Cross multiply
    17,744.37x = 24,497.19 × 11,784.12
  4. Step 4: Simplify right side
    17,744.37x = 288,677,826.62
  5. Step 5: Solve for x
    x = 288,677,826.62/17,744.37
  6. Step 6: Final answer
    x = 16,268.70

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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.