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Finding the Fourth Proportional to 16,794.50, 23,178.78 and 9,626.63

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Solution

The fourth proportional to 16,794.50, 23,178.78 and 9,626.63 is: 13,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,794.50 : 23,178.78 = 9,626.63 : x
  2. Step 2: Convert to fraction form
    16,794.50/23,178.78 = 9,626.63/x
  3. Step 3: Cross multiply
    16,794.50x = 23,178.78 × 9,626.63
  4. Step 4: Simplify right side
    16,794.50x = 223,133,423.02
  5. Step 5: Solve for x
    x = 223,133,423.02/16,794.50
  6. Step 6: Final answer
    x = 13,286.10

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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.