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Finding the Fourth Proportional to 12,182.60, 18,230.70 and 8,467.40

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Solution

The fourth proportional to 12,182.60, 18,230.70 and 8,467.40 is: 12,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.60 : 18,230.70 = 8,467.40 : x
  2. Step 2: Convert to fraction form
    12,182.60/18,230.70 = 8,467.40/x
  3. Step 3: Cross multiply
    12,182.60x = 18,230.70 × 8,467.40
  4. Step 4: Simplify right side
    12,182.60x = 154,366,629.18
  5. Step 5: Solve for x
    x = 154,366,629.18/12,182.60
  6. Step 6: Final answer
    x = 12,671.07

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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.