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Finding the Fourth Proportional to 12,662.40, 18,996.30 and 6,423.24

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Solution

The fourth proportional to 12,662.40, 18,996.30 and 6,423.24 is: 9,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.40 : 18,996.30 = 6,423.24 : x
  2. Step 2: Convert to fraction form
    12,662.40/18,996.30 = 6,423.24/x
  3. Step 3: Cross multiply
    12,662.40x = 18,996.30 × 6,423.24
  4. Step 4: Simplify right side
    12,662.40x = 122,017,794.01
  5. Step 5: Solve for x
    x = 122,017,794.01/12,662.40
  6. Step 6: Final answer
    x = 9,636.23

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