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Finding the Fourth Proportional to 16,960.34, 23,406.47 and 9,407.39

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Solution

The fourth proportional to 16,960.34, 23,406.47 and 9,407.39 is: 12,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,960.34 : 23,406.47 = 9,407.39 : x
  2. Step 2: Convert to fraction form
    16,960.34/23,406.47 = 9,407.39/x
  3. Step 3: Cross multiply
    16,960.34x = 23,406.47 × 9,407.39
  4. Step 4: Simplify right side
    16,960.34x = 220,193,744.78
  5. Step 5: Solve for x
    x = 220,193,744.78/16,960.34
  6. Step 6: Final answer
    x = 12,982.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.