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Finding the Fourth Proportional to 16,960.52, 23,406.17 and 9,406.87

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Solution

The fourth proportional to 16,960.52, 23,406.17 and 9,406.87 is: 12,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,960.52 : 23,406.17 = 9,406.87 : x
  2. Step 2: Convert to fraction form
    16,960.52/23,406.17 = 9,406.87/x
  3. Step 3: Cross multiply
    16,960.52x = 23,406.17 × 9,406.87
  4. Step 4: Simplify right side
    16,960.52x = 220,178,692.84
  5. Step 5: Solve for x
    x = 220,178,692.84/16,960.52
  6. Step 6: Final answer
    x = 12,981.83

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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.