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Finding the Fourth Proportional to 16,474.65, 24,707.17 and 9,453.46

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Solution

The fourth proportional to 16,474.65, 24,707.17 and 9,453.46 is: 14,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.65 : 24,707.17 = 9,453.46 : x
  2. Step 2: Convert to fraction form
    16,474.65/24,707.17 = 9,453.46/x
  3. Step 3: Cross multiply
    16,474.65x = 24,707.17 × 9,453.46
  4. Step 4: Simplify right side
    16,474.65x = 233,568,243.31
  5. Step 5: Solve for x
    x = 233,568,243.31/16,474.65
  6. Step 6: Final answer
    x = 14,177.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.