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Finding the Fourth Proportional to 17,752.27, 24,498.13 and 9,794.51

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Solution

The fourth proportional to 17,752.27, 24,498.13 and 9,794.51 is: 13,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.27 : 24,498.13 = 9,794.51 : x
  2. Step 2: Convert to fraction form
    17,752.27/24,498.13 = 9,794.51/x
  3. Step 3: Cross multiply
    17,752.27x = 24,498.13 × 9,794.51
  4. Step 4: Simplify right side
    17,752.27x = 239,947,179.27
  5. Step 5: Solve for x
    x = 239,947,179.27/17,752.27
  6. Step 6: Final answer
    x = 13,516.42

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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.