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Finding the Fourth Proportional to 12,409.80, 18,615 and 3,644.99

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Solution

The fourth proportional to 12,409.80, 18,615 and 3,644.99 is: 5,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.80 : 18,615 = 3,644.99 : x
  2. Step 2: Convert to fraction form
    12,409.80/18,615 = 3,644.99/x
  3. Step 3: Cross multiply
    12,409.80x = 18,615 × 3,644.99
  4. Step 4: Simplify right side
    12,409.80x = 67,851,488.85
  5. Step 5: Solve for x
    x = 67,851,488.85/12,409.80
  6. Step 6: Final answer
    x = 5,467.57

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Why These Related Problems?

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