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Finding the Fourth Proportional to 17,660.92, 24,372.30 and 9,704.02

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Solution

The fourth proportional to 17,660.92, 24,372.30 and 9,704.02 is: 13,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660.92 : 24,372.30 = 9,704.02 : x
  2. Step 2: Convert to fraction form
    17,660.92/24,372.30 = 9,704.02/x
  3. Step 3: Cross multiply
    17,660.92x = 24,372.30 × 9,704.02
  4. Step 4: Simplify right side
    17,660.92x = 236,509,286.65
  5. Step 5: Solve for x
    x = 236,509,286.65/17,660.92
  6. Step 6: Final answer
    x = 13,391.67

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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.