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Finding the Fourth Proportional to 17,833.97, 24,588.50 and 11,449.28

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Solution

The fourth proportional to 17,833.97, 24,588.50 and 11,449.28 is: 15,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.97 : 24,588.50 = 11,449.28 : x
  2. Step 2: Convert to fraction form
    17,833.97/24,588.50 = 11,449.28/x
  3. Step 3: Cross multiply
    17,833.97x = 24,588.50 × 11,449.28
  4. Step 4: Simplify right side
    17,833.97x = 281,520,625.50
  5. Step 5: Solve for x
    x = 281,520,625.50/17,833.97
  6. Step 6: Final answer
    x = 15,785.64

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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.