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Finding the Fourth Proportional to 17,709.48, 24,439.25 and 9,751.73

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Solution

The fourth proportional to 17,709.48, 24,439.25 and 9,751.73 is: 13,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.48 : 24,439.25 = 9,751.73 : x
  2. Step 2: Convert to fraction form
    17,709.48/24,439.25 = 9,751.73/x
  3. Step 3: Cross multiply
    17,709.48x = 24,439.25 × 9,751.73
  4. Step 4: Simplify right side
    17,709.48x = 238,324,979.74
  5. Step 5: Solve for x
    x = 238,324,979.74/17,709.48
  6. Step 6: Final answer
    x = 13,457.48

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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.