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Finding the Fourth Proportional to 17,689.69, 24,411.37 and 9,731.74

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Solution

The fourth proportional to 17,689.69, 24,411.37 and 9,731.74 is: 13,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.69 : 24,411.37 = 9,731.74 : x
  2. Step 2: Convert to fraction form
    17,689.69/24,411.37 = 9,731.74/x
  3. Step 3: Cross multiply
    17,689.69x = 24,411.37 × 9,731.74
  4. Step 4: Simplify right side
    17,689.69x = 237,565,105.88
  5. Step 5: Solve for x
    x = 237,565,105.88/17,689.69
  6. Step 6: Final answer
    x = 13,429.58

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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.