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Finding the Fourth Proportional to 12,273.20, 18,431.40 and 9,506.60

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Solution

The fourth proportional to 12,273.20, 18,431.40 and 9,506.60 is: 14,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.20 : 18,431.40 = 9,506.60 : x
  2. Step 2: Convert to fraction form
    12,273.20/18,431.40 = 9,506.60/x
  3. Step 3: Cross multiply
    12,273.20x = 18,431.40 × 9,506.60
  4. Step 4: Simplify right side
    12,273.20x = 175,219,947.24
  5. Step 5: Solve for x
    x = 175,219,947.24/12,273.20
  6. Step 6: Final answer
    x = 14,276.63

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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.