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Finding the Fourth Proportional to 12,309.50, 18,466.95 and 3,990.34

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Solution

The fourth proportional to 12,309.50, 18,466.95 and 3,990.34 is: 5,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.50 : 18,466.95 = 3,990.34 : x
  2. Step 2: Convert to fraction form
    12,309.50/18,466.95 = 3,990.34/x
  3. Step 3: Cross multiply
    12,309.50x = 18,466.95 × 3,990.34
  4. Step 4: Simplify right side
    12,309.50x = 73,689,409.26
  5. Step 5: Solve for x
    x = 73,689,409.26/12,309.50
  6. Step 6: Final answer
    x = 5,986.39

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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.