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Finding the Fourth Proportional to 12,273.66, 18,410.49 and 5,353.02

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Solution

The fourth proportional to 12,273.66, 18,410.49 and 5,353.02 is: 8,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.66 : 18,410.49 = 5,353.02 : x
  2. Step 2: Convert to fraction form
    12,273.66/18,410.49 = 5,353.02/x
  3. Step 3: Cross multiply
    12,273.66x = 18,410.49 × 5,353.02
  4. Step 4: Simplify right side
    12,273.66x = 98,551,721.18
  5. Step 5: Solve for x
    x = 98,551,721.18/12,273.66
  6. Step 6: Final answer
    x = 8,029.53

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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.