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Finding the Fourth Proportional to 17,751.42, 24,496.56 and 9,794.40

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Solution

The fourth proportional to 17,751.42, 24,496.56 and 9,794.40 is: 13,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751.42 : 24,496.56 = 9,794.40 : x
  2. Step 2: Convert to fraction form
    17,751.42/24,496.56 = 9,794.40/x
  3. Step 3: Cross multiply
    17,751.42x = 24,496.56 × 9,794.40
  4. Step 4: Simplify right side
    17,751.42x = 239,929,107.26
  5. Step 5: Solve for x
    x = 239,929,107.26/17,751.42
  6. Step 6: Final answer
    x = 13,516.05

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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.