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Finding the Fourth Proportional to 17,752.43, 24,498.32 and 9,794.63

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Solution

The fourth proportional to 17,752.43, 24,498.32 and 9,794.63 is: 13,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.43 : 24,498.32 = 9,794.63 : x
  2. Step 2: Convert to fraction form
    17,752.43/24,498.32 = 9,794.63/x
  3. Step 3: Cross multiply
    17,752.43x = 24,498.32 × 9,794.63
  4. Step 4: Simplify right side
    17,752.43x = 239,951,808.56
  5. Step 5: Solve for x
    x = 239,951,808.56/17,752.43
  6. Step 6: Final answer
    x = 13,516.57

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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.