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Finding the Fourth Proportional to 12,138.63, 18,204.35 and 6,211.86

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Solution

The fourth proportional to 12,138.63, 18,204.35 and 6,211.86 is: 9,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.63 : 18,204.35 = 6,211.86 : x
  2. Step 2: Convert to fraction form
    12,138.63/18,204.35 = 6,211.86/x
  3. Step 3: Cross multiply
    12,138.63x = 18,204.35 × 6,211.86
  4. Step 4: Simplify right side
    12,138.63x = 113,082,782.57
  5. Step 5: Solve for x
    x = 113,082,782.57/12,138.63
  6. Step 6: Final answer
    x = 9,315.95

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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.