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Finding the Fourth Proportional to 17,682.10, 24,251.79 and 15,689.19

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Solution

The fourth proportional to 17,682.10, 24,251.79 and 15,689.19 is: 21,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.10 : 24,251.79 = 15,689.19 : x
  2. Step 2: Convert to fraction form
    17,682.10/24,251.79 = 15,689.19/x
  3. Step 3: Cross multiply
    17,682.10x = 24,251.79 × 15,689.19
  4. Step 4: Simplify right side
    17,682.10x = 380,491,090.93
  5. Step 5: Solve for x
    x = 380,491,090.93/17,682.10
  6. Step 6: Final answer
    x = 21,518.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.