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Finding the Fourth Proportional to 12,180.83, 18,269.20 and 4,289.20

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Solution

The fourth proportional to 12,180.83, 18,269.20 and 4,289.20 is: 6,433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.83 : 18,269.20 = 4,289.20 : x
  2. Step 2: Convert to fraction form
    12,180.83/18,269.20 = 4,289.20/x
  3. Step 3: Cross multiply
    12,180.83x = 18,269.20 × 4,289.20
  4. Step 4: Simplify right side
    12,180.83x = 78,360,290.97
  5. Step 5: Solve for x
    x = 78,360,290.97/12,180.83
  6. Step 6: Final answer
    x = 6,433.08

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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.