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Finding the Fourth Proportional to 17,689.86, 24,412.32 and 9,732.78

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Solution

The fourth proportional to 17,689.86, 24,412.32 and 9,732.78 is: 13,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.86 : 24,412.32 = 9,732.78 : x
  2. Step 2: Convert to fraction form
    17,689.86/24,412.32 = 9,732.78/x
  3. Step 3: Cross multiply
    17,689.86x = 24,412.32 × 9,732.78
  4. Step 4: Simplify right side
    17,689.86x = 237,599,739.85
  5. Step 5: Solve for x
    x = 237,599,739.85/17,689.86
  6. Step 6: Final answer
    x = 13,431.41

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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.