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Finding the Fourth Proportional to 17,689.44, 24,411.03 and 9,731.49

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Solution

The fourth proportional to 17,689.44, 24,411.03 and 9,731.49 is: 13,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.44 : 24,411.03 = 9,731.49 : x
  2. Step 2: Convert to fraction form
    17,689.44/24,411.03 = 9,731.49/x
  3. Step 3: Cross multiply
    17,689.44x = 24,411.03 × 9,731.49
  4. Step 4: Simplify right side
    17,689.44x = 237,555,694.33
  5. Step 5: Solve for x
    x = 237,555,694.33/17,689.44
  6. Step 6: Final answer
    x = 13,429.24

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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.