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Finding the Fourth Proportional to 12,309.12, 18,466.92 and 4,518

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Solution

The fourth proportional to 12,309.12, 18,466.92 and 4,518 is: 6,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.12 : 18,466.92 = 4,518 : x
  2. Step 2: Convert to fraction form
    12,309.12/18,466.92 = 4,518/x
  3. Step 3: Cross multiply
    12,309.12x = 18,466.92 × 4,518
  4. Step 4: Simplify right side
    12,309.12x = 83,433,544.56
  5. Step 5: Solve for x
    x = 83,433,544.56/12,309.12
  6. Step 6: Final answer
    x = 6,778.19

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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.