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Finding the Fourth Proportional to 12,423.44, 18,635.76 and 3,658.44

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Solution

The fourth proportional to 12,423.44, 18,635.76 and 3,658.44 is: 5,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.44 : 18,635.76 = 3,658.44 : x
  2. Step 2: Convert to fraction form
    12,423.44/18,635.76 = 3,658.44/x
  3. Step 3: Cross multiply
    12,423.44x = 18,635.76 × 3,658.44
  4. Step 4: Simplify right side
    12,423.44x = 68,177,809.81
  5. Step 5: Solve for x
    x = 68,177,809.81/12,423.44
  6. Step 6: Final answer
    x = 5,487.84

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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.