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Finding the Fourth Proportional to 17,752.14, 24,498.09 and 9,794.34

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Solution

The fourth proportional to 17,752.14, 24,498.09 and 9,794.34 is: 13,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.14 : 24,498.09 = 9,794.34 : x
  2. Step 2: Convert to fraction form
    17,752.14/24,498.09 = 9,794.34/x
  3. Step 3: Cross multiply
    17,752.14x = 24,498.09 × 9,794.34
  4. Step 4: Simplify right side
    17,752.14x = 239,942,622.81
  5. Step 5: Solve for x
    x = 239,942,622.81/17,752.14
  6. Step 6: Final answer
    x = 13,516.26

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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.