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Finding the Fourth Proportional to 12,216.50, 18,324.77 and 4,423.49

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Solution

The fourth proportional to 12,216.50, 18,324.77 and 4,423.49 is: 6,635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.50 : 18,324.77 = 4,423.49 : x
  2. Step 2: Convert to fraction form
    12,216.50/18,324.77 = 4,423.49/x
  3. Step 3: Cross multiply
    12,216.50x = 18,324.77 × 4,423.49
  4. Step 4: Simplify right side
    12,216.50x = 81,059,323.11
  5. Step 5: Solve for x
    x = 81,059,323.11/12,216.50
  6. Step 6: Final answer
    x = 6,635.24

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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.